In 1950, the group spent 23% of their budget on food. This has decreased
at an average rate of approximately 0.27% per year since then. Find a
linear function in slope-intercept form that models the percentage of total
spending, p(x), by the group x years after 1950.

Answers

Answer 1

The linear function that can be used to model this relationship is:

y = -0.27x + 23

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let P(x) represent the percentage of total  spending x years after 1950.

Since In 1950, the group spent 23% of their budget on food, hence b = 23.

Also, this has been decreasing at 0.27% per year. Hence m = -0.27.

The linear function that can be used to model this relationship is:

y = -0.27x + 23

Find out more at: https://brainly.com/question/13911928


Related Questions

what is 1/5 divided by 9?

Answers

Answer:

9/5

Step-by-step explanation:

Just divide the 9 by 1 so it'll be 9/5 hope it helps

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

(x-1) (x-4) is the answer

If 3 horses never choose your height, can Jennifer buy 7 gallons of milk? What if Sydney gets a house in orange juice liters?
Write your answer in simplest form and interpret how and why it do no.

Answers

jennifer cannot buy seven gallons of milk as sydney is the one with the 3 horses. Sydney gets the house in orange juice liters the horses will choose her height and not jennifer’s.

sole the inequality x-8>-4

Answers

Answer:

[tex]x>4[/tex]

Based on this, we know the correct number line will be an empty bubble with a line going to the right of 4.

Step-by-step explanation:

[tex]x-8>-4[/tex]

add 8 to both sides of the inequality

[tex]x>4[/tex]

Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm

Answers

1.83 m would convert to 183 cm. If George is 9 cm shorter than her, 183 cm - 9 cm is 174 cm.

(5, -2); slope =-1 please help I need answers asap

Answers

Answer:

y = - x + 3

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 1 , then

y = - x + c ← is the partial equation

To find c substitute (5, - 2 ) into the partial equation

- 2 = - 5 + c ⇒ c = - 2 + 5 = 3

y = - x + 3 ← equation of line

Tex's Taco Truck serves tacos on either hard or soft shells. Yesterday, Tex's Taco Truck sold 5 hard-shell tacos for every 2 soft-shell tacos. If Tex's Taco Truck sold 39 more hard-shell tacos than soft-shell tacos yesterday, how many hard-shell tacos did it sell?

Answers

Answer:

65 hard-shells

26 soft shells

Step-by-step explanation:

5 x 13 = 65

2 x 13 = 26

65 - 26 = 39

The percent of Ivy Tech students receiving financial aid in 2018 was 82%, this was a 9.8% relative increase from 2017. What would the percent of students receiving aid in 2017 have been?

Answers

In 2017 it would have been 72.2%

Which expression is equivalent to 4w (-6w)
0 -2w3
O-202
0-24w3
0-24w2

Answers

Step-by-step explanation:

4w(-6w)

= (4*6)(w.-w)

= 24 * -w²

= -24w²

29. Which set of integers is listed in order from least to greatest?
5,8,-9, -10
-5, -3, -2,7
O-5, 4, -2, -7
O 5, 4, 2, -1

Answers

Answer:

It would be the second set of numbers.

Step-by-step explanation:

which number line and expression show how to find the distance from 2 to - 5?

Answers

Answer:

A is the answer.

Step-by-step explanation:

Look at the graph of graph A. It has given the correct distance between 2 and -5.

Hoped this helped.

Answer:

B.

Step-by-step explanation:

Progressions A person borrowed a sum of Rs. 3400 from his provident fund account on the condition to repay in 22 monthly installment of Rs. 150 and last installment of Rs. 100. Calculate the S.I. at the rate of 4.5% pa, which he , has to pay as the 24th installment?​

Answers

I am supposed to solve 1
question but I am solving four questions, Please try to
understand me and its my humble request to create
separate post for each question.

plz answer this with complete process plzzz I will give you brainlist ..........​

Answers

Answer:

Step-by-step explanation:

Needs a picture to be solved, please put one.

Answer:

i know

Step-by-step explanation:

I know have a amazing day

List all the factors pairs in the table 64

Answers

(1, 64), (2, 32), (4, 16), (8, 8).

Answer:

1 x 64

2 x 32

4 x 16

8 x 8

Step-by-step explanation:

Factors of 64: 1, 2, 4, 8, 16, 32 and 64.

Pairs:

1 x 64

2 x 32

4 x 16

8 x 8

Hope this helps :)


Hi guys mind helping me with this

Answers

Answer:

i actually have the same question  

Step-by-step explanation:

Answer:

the bearing is 290°

Step-by-step explanation:

firstly complete those compass directions (just to make it easier for you). find the remaining angle on A which is 110°. subtract 90° from it and get 20°. using the concept of alternating angles. then add from the North to where the line connecting B n A is, 270°+20°=290°

Myra ordered 648 roses for her flower shop. Her helpers made boquets for every 8 roses.How many bouquet of roses were made for sale?What is the solution​

Answers

bouquet of roses were made for sale : 648/8 = 81

ok done. Thank to me :>

A banker estimated a customer's worth to be $127,000. The customer was actually worth $120,000.

Find the percent error.


A. 5.5%

B. 5.6%

C. 5.7%

D. 5.8%


Please explain and get 100 points+ Brainlyist

Answers

Answer:

the answer is

5.6 I think

1. Two linear functions are shown below. Which function has the greater rate of change? Function A Function B 10 у y 4 32 8 8 6 44 12 4 56 2 16 68 Х 0 20 80 0 2 4 6​

Answers

Answer:

I don't understand clear ur question

Two air ducts together remove 525 cubic feet of air per minute. The larger duct removes 45 cubic feet of air less than twice the amount of air removed by the smaller duct. How many cubic feet of air per minute are removed by each duct?

Answers

Answer:

I don't know

Step-by-step explanation:

The smaller duct removes 190 cubic feet of air per minute and the larger duct removes 335 cubic feet of air per minute.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Let's assume that the smaller duct removes 'x' cubic feet of air per minute.

So, The larger duct removes (2x - 45) cubic feet of air per minute.

x + (2x - 45) = 525.

3x = 525 + 45.

3x = 570.

x = 190.

So, the smaller duct removes 190 cubic feet of air per minute and the larger duct removes (2(190) - 45) = 335 cubic feet of air per minute.

learn more about linear equations here :

https://brainly.com/question/11897796

#SPJ2

Identify the set of perpendicular lines in this image.

A) AB, CD

B) CD, EF

C) AB, EF

D) AB, FE

Answers

Answer:

AB, CD

Step-by-step explanation:

there is ⊥ 90° angle sign between them AB and CD.

They are perpendicular

A bag of sugar weighs 6²/⁵. What is the weight of 6¹/⁴ of such bag?
How many two thirds are there in 4¹/³?

Answers

Answer:

6 and a half 2 thirds are in 4 1/3

Step-by-step explanation:

2/3x=13/3

2x=13

x=6.5

Hep help help help please please

Answers

Answer:

7,6

Step-by-step explanation:

Start from the horizontal line and then the vertical line

Answer:

according to the y and x axis rule the x comes first which means that 6 should go in the green box and 7 in the grey

The owner of Get-A-Away Travel has recently surveyed a random sample of 496 customers to test the mean age of the agency's customers is over 24 . The appropriate hypotheses are H0: μ ⤠24, Ha: μ > 24 If he concludes the mean age is over 24 when it is not over 24, he makes a _error.

Answers

Using error concepts for hypothesis tests, it is found that there is a Type I error.

A Type I error happens when a true null hypothesis is rejected.

A Type II error happens when a false null hypothesis is not-rejected.

In this problem, the null hypothesis is:

[tex]H_0: \mu = 24[/tex]

 

The alternative hypothesis is:

[tex]H_1: \mu > 24[/tex]

He concludes that the mean age is over 24 when it is not, that is, a true null hypothesis is rejected, hence there is a Type I error.

A similar problem is given at https://brainly.com/question/25225353

What is the slope of the line that
passes through the points (-1, 3)
and (2, 10)?

Answers

Answer:

D  [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

For find the slope of whatever line we use the next formula:

[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So in our occasion we have:

[tex]y_2 = 10 \quad \text{and} \quad y_1 = 3\\x_2 = 2 \quad \text{and} \quad x_1 = -1[/tex]

Replacing in the equation:

[tex]\frac{10 - 3}{2 - (-1)} = \frac{7}{3}[/tex]

So the answer is [tex]\frac{7}{3}[/tex]


Please help if you can!

Answers

Answer:

(0 ; -3)

Step-by-step explanation:

The y-intercept is where the line touches the y axis meaning that x is 0.

Answer:

-3 by the looks of it.

Step-by-step explanation:

The line intercepts at the y-intercept (the vertical and or straight up and down line) at -3.

jason can type 275 characters in 5 minutes on his computer keyboard. at that rate, how many characters can he type in 20 minutes?

Answers

Answer:

1100 characters

Step-by-step explanation:

275 characters : 5 minutes

? characters : 20 minutes

5 x 4 = 20 minutes

275 x 4 = 1100 characters

1,100 characters in 20 minutes.


step by step explanation: 20 divided by 5 is 4 so then you take 275 times 4 and then finally you get 1,100

An eight-sided dice numbered from 1 to 8 is rolled 80 times to determine whether it is fair, a If the dice is fair, how many of each number would you expect to get?

Answers

Answer:

10 times for each number

Step-by-step explanation:

:)

Answer:

10

Step-by-step explanation:

if the dice is fair, the sides will land one time every 8, so if its rolled 80 time, and it was equal 10 would be your answer.

what is the length of DE

Answers

Answer:

Step-by-step explanation:1

Latonya swims 50 meters in 1/2 minute, what is the slope ?

Answers

Answer:

This slope means for every 1 minute Latonya swims 100 meters.

Step-by-step explanation:

Question 6 of 24
The function f(x) = x2 - 6x + 9 is shifted 5 units to the right to create g(x).
What is g(x)?
A. g(x) = (x - 5)2 - 6(x - 5) + 9
B. g(x) = (x + 5)2 - 6(x + 5) + 9
C. g(x) = (x2 - 6x + 9) + 5
D. g(x) = (x2 - 6x + 9) - 5
Micr
SUBMIT

Answers

Answer:

Step-by-step explanation: its b

Other Questions
shoes by Sylvia Hamilton. How does the use of direct speech affect/contribute to the tone of the poem? Find x value [tex] {x}^{3} + {x}^{2} + 8x + 12 = 0[/tex]?? 1. What is personal narrative writing? What are some sources for personalnarratives? That is, what do people write about?PLEASE ANSWER QUICK Which rate is not equivalent to 180 feet per 8 seconds? 1. In a scale drawing of a statue the scale is 1 in. = 1 foot. If the scale drawing is 9 in., how tall is the statue? 12 feet 4.5 feet 9 feet 18 feet4 What is the missing numerator?blank over seven minus three-eighths equals twenty-seven fifty sixths 4 5 6 7 Why did Jefferson believe the Classical Revival was a more appropriate style than Georgian for public buildings in the new United States 8.Linda thinks that her home is dirty and she will becomecontaminated if she does not clean her kitchen. This daily cleaning takes hours to complete. Her handsare rubbed raw, she has not been able to maintain friendships, and she is struggling to keep up withwork. Christians and Jews interacted with the Islamic government by - Select one:converting the area solely to Christianity.forcing Islamic people to move out of areas previously conquered by Judaism.migrating to regions that consisted solely of people that shared their beliefs.serving as officials, scholars and bureaucrats. Factor 28z32. what is the factor?????? A culture's expectation of masculine and feminine behaviors can be defined as _____________________. What does this political cartoon reveal about the nations commitment to its founding ideals during Reconstruction? Which of the following illustrates the correct placement of information for a single author book?Select one:a. Author, title, date, publisher, place of publicationb. Title, author, publisher, date, place of publicationc. Author, title publisher, place of publication, dated. Author, title, place of publication, publisher, date Pat Jones is a college student who is planning some networkingopportunities for the current semester. Pat wanted to look professional for these events and felt a new suit would be a real benefit; however, the cost for the first event ended up being $75 which was a strain on the budget. Pat did not want to attend the remaining three events in the same outfit, so a new strategy was developed. Instead of paying for new suits in cash, Pat decided to charge the suits on a credit card, wear them to the events, and then return them the next day for full credit.*****Be sure to include the following in your original response which should be at least four paragraphs with at least five sentences each:1. Provide a brief description of the scenario in your own words.2. Do you feel Pat's new strategy is ethical? Why or why not? Couldthere be any consequences with this strategy?3. How will this new strategy impact the company/companies where the suits are purchased?4. What journal entry/entries would the company have to recordrelated to the return of the suit? Which of the following seas has almost completely disappeared because of irrigation in the area? A. the Aral Sea B. the Black Sea C. the Caspian Sea D. the Aegean Sea Discuss prewriting and planning strategies that you could use for a compare and contrast essay.Provide at least two reasons explaining how these strategies would help you to write your paper. The kinetic energy of an object can sometimes be greater than a potential energy a originally possessed, true or false? Leading up to the American Revolution, economic and political problems between the colonists and Great Britain wereon the rise. Choose THREE examples of colonists' motivations for declaring independence from Great Britain.A)British troops were sent to America to enforce the Crown's strict tax laws.B)Colonists wanted to give American citizenship to Native Americans andslaves.C)Great Britain's government wanted to pay its war debt by taxing thecolonists.D)Great Britain's government wanted to put an end to slavery in theSouthern colonies.E)During a protest, several colonists were killed by British soldiers in theBoston Massacre. What are the x and y -intercepts for the equation 5x - 4y = 10 The spinal cord is associated with ____________ pairs of spinal nerves. Spinal nerves are considered