Car Sales A manufacturer of economy cars has determined that 50,000 cars per month can be sold at a price of $18,000 per car. At a price of $17,500, the number of cars sold per month would increase to 55,000. Determine a linear function that predicts the number of cars that will be sold at a price of x dollars. Use this model to predict the number of cars that will be sold at a price of $17,000.

Answers

Answer 1

Answer: 60,000 cars would be sold at $17000.

Step-by-step explanation:

• first we find the slope of the function between two points

(50,000, 18000) and ( 55,000, 17500)

• Let the number of cars sold be the x axis coordinate.

and the price is the y axis coordinate.

• next we plot this points.

m= Change in y / Change in x = rise / run

The slope m = (18000 - 17500/ 50,000 - 55,000)

= -0.1

• The equation of the line in point slope form is m(x-x1)=(y-y1)

• substituting for the first point

-0.1 (X-50,000) = y-18000

-0.1x - 5000 = y - 18000

-0.1x = 18000 + 5000

y = -0.1x + 23000

our slope -0.1 is negative.

In order to find the number of cars to be sold at a price of $17000, substitute this value y in the equation such that:

17000 =-0.1x+23000

solve for x

-0.1x = 23000-17000

0.1x = 6000

divide both sides by 0.1

x = 60000

60,000 cars would be sold at $17,000


Related Questions

It took a car 4 days to travel 3036 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)

Answers

Answer:

31.625 rounded up is 32mph

Step-by-step explanation:

if you take how many days it took to travel then there are 24 hours in a day so you would do 24 times 4 which gives you 96.

then you take 3036 and divide that by 96 and you get your answer.

Enter the coordinates of a point that is 5 units from (-2, -1). The coordinates of a point 5 units away is (-2, ).

Answers

Answer:

22

Step-by-step explanation:

please help me with this math!

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the polynomial function

[tex]f\left(x\right)\:=x^3+2x^2-16x-32[/tex]

Let us determine the factors by solving

[tex]\:\left0\right\:=x^3+2x^2-16x-32\:[/tex]

[tex]\left(x+2\right)\left(x+4\right)\left(x-4\right)=0[/tex]

Using the zero factor principle:

if  [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+2=0\quad \mathrm{or}\quad \:x+4=0\quad \mathrm{or}\quad \:x-4=0[/tex]

Thus, (x+2) (x+4) and (x-4) are the factors of the polynomial function.

Therefore,

YES

(x+2)(x+4)(x-4)

And (x-2) (x+6) are not the factors of the polynomial function.

Therefore,

YES

(x-2)(x+6)

Bryce made a scale drawing of a shopping center. The scale of the drawing was
1 inch : 4 feet. A bakery in the shopping center is 10 inches in the drawing. How wide is the
actual bakery?

Answers

Answer:

I'm pretty sure the answer is 40.

Step-by-step explanation:

1:4 meaning

1-10 inches

10 x 4 equals 40ft.

Because of the scale being 1:4 .

If the probability is 0.65 that a marriage will end in divorce within 20 years, what is the probability that out of 7 couples just married in the next 20 years
(A) None will be divorced?
(B) All will be divorced?
(C) Exactly 6 will be divorced?
(D) At least 6 will be divorced?

Answers

Answer:

0.00064

0.049

0.185

0.234

Step-by-step explanation:

Using binomial distribution formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

p = 0.65

1 - p = 1 - 0.65 = 0.35

n = 7

(A) None will be divorced?

P(x = 0) : 7C0 * 0.65^0 * 0.35^7

= 1 * 1 * 0.00064339296875

= 0.00064

(B) All will be divorced?

P(x = 7) : 7C7 * 0.65^7 * 0.35^0

1 * 0.04902227890625 * 1

= 0.049

(C) Exactly 6 will be divorced?

P(x = 6) : 7C6 * 0.65^6 * 0.35^1

7 * 0.075418890625 * 0.35

= 0.18477628203125

= 0.185

(D) At least 6 will be divorced?

P(x ≥ 6) = p(6) + p(7)

P(6) = 0.185

P(7) = 0.049

P(x ≥ 6) = 0.185 + 0.049 = 0.234

CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!

Answers

Answer:

-5 count to 0 which is 5 plus 15 so maybe it was 20 degrees when she left school

Help me FAST PLEASEEEE

Answers

1. shade right, open circle

2. no shade, solid circle

3. shade right, solid circle

4. shade left, solid circle

5. no shade, solid circle

6. shade left, solid circle

7. shade left, open circle

8. shade right, solid circle

9. shade left, open circle

10. no shade, solid circle

jordan can jog 1/3 of a mile in 1/6 of an hour.what is his speed in miles per hour

Answers

Answer:

The answer is  2 miles per hour

Step-by-step explanation:

Given

distance = 1/3 miles

time taken = 1/6 hour

Required,

The speed with which Jorgan Jogs

Step two:

We know that the formula for the situation is

Speed= distance/time

Speed= 1/3/1/6

Speed= 1/3*6/1

multiply the numerator by the inverse of the denominator

Speed=6/3

Speed= 2 miles per hour

5.73 Evaluate the expression for 2 22 2. I will give brainliest ​

Answers

Answer:

10

Step-by-step explanation:

5·x³/x² = 5·x = 5·2 = 10

6th grade math I mark as brainliest

Answers

Answer:

D

DDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

What equivalent ratios are less but equivalent to 40:20?

Answers

4:2 because it’s less than 40:20

Answer:

8:4

Step-by-step explanation:

Jon typed 330 words in 30 minutes.How many words did he type per minute?

Answers

Answer:

Step-by-step explanation:

I believe the answer is 11 words per minute!

✨Hope it helps✨

Brainliest maybe

if the cost of a washing machine is 15480 if the selling price is 17000 what is the profit or lost

Answers

Answer:

1,520

Step-by-step explanation:

Its neither not both

Answers

Answer:

what does this question mean?

Step-by-step explanation:

There are n teams ina league and each team plays each other twice a season. The league plays 182 games. How many teams are in the league

Answers

Answer:

91

Step-by-step explanation:

here's why because from this word problem the equation should be 2n=182 which turns to division so... 182 divided by 2 is 91

Order the numbers from least to greatest.
-4/3, -1, 0, 2/3, 4/5, 6, 9
PLS HELP

Answers

Answer:

-4/3, -1, 0, 2/3, 4/5, 6, 9. They were already in the correct order.

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

How much is `10\%` of `10` liters of milk?

Answers

the answer would be 1 liter of milk

Answer:

one

Step-by-step explanation:

3. Se le ha encargado a usted la provisión de muestras para vender en el lanzamiento de la nueva bebida de aguapanela con limón y gas, la cual viene en tres tamaños 350ml, 500ml y 1000 ml. Se le dará una comisión por cada muestra vendida y se le impondrá una multa por cada muestra sin vender. En el primer día usted recibe 300 botellas de 1000ml, 400 botellas de 500ml y 200 botellas de 350ml. Ese día usted no vendió las de 500ml y ganó una comisión de US$30. El segundo día usted recibe 300 botellas de 500 ml y 400 botellas de 1000ml, no vendió las de 1000 ml y recibió US$10. En el tercer día se le entregan 200 botellas de 1000 ml, 300 botellas de 500ml y 500 botellas de 350ml, no se vendieron las grandes y le pagaron US$50. Determine cuánto le pagaron por cada tipo de botella.

Answers

I- I would help but- o meh lord

how many repeating digits does n=0.1515 have

Answers

Answer:

it depends on where the line is

Step-by-step explanation:

if the line is over the .15, then two.

Answer:

It has 2 repeating digits.

Step-by-step explanation:

These digits are 1 and 5.

Hope this helps!

PLEASE EHELP ME RN!

PLEASE HELp ME
HELP ME

Answers

Answer:

Step-by-step explanation:

Answer:

0-4-9 = -13 or -4-9 = -13

Explanation:

Basically it starts at 0, then it moves to the left of the number line meaning it subtracts. It moves to the left by 4, so it is subtracting 4 from 0. Then it moves to the left again by 9, so you subtract 9 from 0-4

In the end, it is 0-4-9 or you can remove the 0 and be -4-9

Hope this was helpful :)

The answer is -13 jfjfjfjfnfnnfnng

HELP PLEASEE:(((((( THANk YOU

Answers

Answer:

(C). g(x) = ( [tex]\frac{1}{4}[/tex] x )²

Step-by-step explanation:

The correct answer is (C). g(x) = ( [tex]\frac{1}{4}[/tex] x )²

In the problem above what comes after distribution property?

A. Combine like terms
B. Do the inverse to simplify
C. Do the reciprocal
D. What do I do on the side I do on the other

Answers

Answer:

A

Step-by-step explanation:

Id say A Im sorry If im wrong though, this is what I would put

Answer:

where is the problem???

Step-by-step explanation:

Different problem same topic please help

Answers

Answer:

see below

Step-by-step explanation:

y = 5x - 31

y = mx + b

where m = slope

slope of a parallel line = 5

slope of a perpendicular line = - 1/5

How many quarts can Gloria fill with one gallon of milk?

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

There are 4 quarts in one gallon

Divide. 6 ÷ 1/4
helpp​

Answers

Answer:

24

Step-by-step explanation:

Let’s write them as numbers

6/1/4

Dividing by 4 means multiplying by its reciprocal.

Reciprocal of a number: Can be found when you switch the positions of the denominator and numerator

So reciprocal of 1/4=4/1=4

Next, we multiply by its reciprocal

6*4=24

Therefore, 6 divided by one fourth is 24.

It is 24 :) hope it helped

A plane takes off from an airport on the bearing S 29°W. It continues for 20 minutes then changes to bearing S 52°W and flies for 2 hours 20 minutes on this course then lands at a second airport. If the plane's speed is 420 mph, how far from the first airport is the second airport? Round to the nearest mile.
A. 1011 mi
B. 1111 mi
C. 1010 mi
D. 1110 mi

Answers

Answer: 1110 miles

Step-by-step explanation:

Given that :

Speed (V) = 420 mph

t1 = 20 minutes = 20/60 = 0.3333 hour

t2 = 2 hours 20 minutes = 2.333 hours

Distance = speed * time

d1 = 420 * 0.333 = 140 miles

d2 = 420 * 2.33333 = 979.98 = 980 miles

Using cosine rule :

x = sqrt(d1² + d2² - 2(d1 * d2) cos 157

x = sqrt(140^2 + 980^2 - 2(140 * 980) cos157

x = sqrt(1232586.5)

x = 1110.2191

x = 1110 miles

If the fraction 414/x-10 is equivalent to -23 ​, find the value of x. Show your work. Use reasoning to find x.

Answers

Answer:

x = -8

Step-by-step explanation:

Solve for x by getting rid of the fraction.

414/(x-10) = -23

414 = -23(x-10)

414 = -23x + 230

184 = -23x

-8 = x

Which is the best estimate of the product of the fractions? StartFraction 4 Over 7 EndFraction times StartFraction 8 Over 9 EndFraction times StartFraction 14 Over 15 EndFraction

Answers

Answer:

Product = [tex]\dfrac{64}{135}[/tex]

Step-by-step explanation:

The expression is as follows :

[tex]\dfrac{4}{7}\times \dfrac{8}{9}\times \dfrac{14}{15}[/tex]

We need to find the product of the above expression

As 7 × 2 = 14

So, it will become :

[tex]4\times \dfrac{8}{9}\times \dfrac{2}{15}\\\\=\dfrac{4\times 8\times 2}{9\times 15}\\\\=\dfrac{64}{135}[/tex]

So, the product of the given fractions is [tex]\dfrac{64}{135}[/tex].

Answer:

64/135

Step-by-step explanation:

The square below represents one whole.
What percent is represented by the shaded area?
%

Answers

Answer:

70%

Step-by-step explanation:

Answer:

7/10 or 7 over 10

Step-by-step explanation:

You have a coupon for 20% off the shoes. Will the cost of the shoes be: MORE THAN $65.95 or LESS THAN $65.95 EXPLAIN

Answers

Answer:

take $65.95 times (0.0825) for the sales tax = 5.44

then, add the tax of $5.44 to the original amount of $65.95 = $75.39

Step-by-step explanation:

Answer: less than $65.95

Step-by-step explanation: because its taking 20% away from $65.95

$65.95 - 20% = $52.76

Other Questions
Within to the rock cycle, which of the following is NOT correct? A. Metamorphic rocks may melt to become magma.B. Sedimentary rocks may weather to become igneous rocks. C. Heat and pressure may change igneous rocks into metamorphic rock.D Magma may crystallize to form igneous rocks. Please help!!! all these questions are due today Question 14 of 25The image shows devices that convert wind energy into electrical energy.What is one advantage of using this type of device in place of burning fossilfuels? State if each pair of ratios forms a proportion....EXPLAIN AS WELL PLS!!!1.) 10/16 and 2/42.) 2/3 and 8/153.) 10/9 and 2/34.) 16/12 and 2/45.) 4/2 and 16/86.) 6/16 and 3/47.) 9/6 and 3/28.) 9/12 and 3/49.) 10/12 and 2/310.) 4/2 and 20/611.) 4/2 and 24/812.) 4/3 and 16/18 Help with this pleaseIs tap water electrolytes or nonelectrolytes?Is sugar solution electrolytes or nonelectrolytes?Is lactic acid solution electrolytes or nonelectrolytes? 20 point help.brainliest will be mark PLEASE HELP!!!Identify cardiorespiratory endurance and describe its importance for a person's well-being. Use evidence to support your answer. What volume of 1.60 M hydrochloric acid solution (HCI) is required to neutralize 48.0 mL of 0.200 M sodiumhydroxide solution (NaOH)? Answer this for me please Identify an equation that models the situation and find its solution. Kane planned to build a 53-centimeter-tall model of a building. He later decided to increase the model's height to 159 centimeters. What was the increase of the model's height in centimeters? What is the meaning of life in ur own wordsMine is: Ive had a rough week lots of work, tests, a break up, a fight, and those are the things that i remember from my week. the bad moments, yeah Life can suck to be honest but theres beautiful moments that u cant forget, there is the hard times that everyone hates, but there is always good times which are the ones that count :) JS: How many years ago was 1,000 BC?answer Who doesn't RSVP to Auggie's party Complete the sentence with the correct comparative or superlative adverb. Of all the traders at his firm, Mr. Gilmore is known for investing the cautiously Can someone help me pleaseeee plz help me thanks very nuch whoever helped me who would like to hear my own stranger things character + story line.I will post them on the comments. Tasty Subs acquired a delivery truck on October 1, 2021, for $22,500. The company estimates a residual value of $2,700 and a six-year service life. Required: Calculate depreciation expense using the straight-line method for 2021 and 2022, assuming a December 31 year-end. 2z z =-5 divided by -2 A car is filled up with 20 gallons of gas. The car uses .25 gallons per minute. How much time will the car travel ?