Given the graph below, what is the average rate of change between 1 year and 4 years
of age?

Given The Graph Below, What Is The Average Rate Of Change Between 1 Year And 4 Yearsof Age?

Answers

Answer 1

Answer : The average rate of change between 1 year and 4 years  of age is 7.33 lbs per year.

Step-by-step explanation :

As we know that the average rate of change between two input values is the total change of the output values divided by the change in the input values.

From the table, we conclude that:

The weight of 1 year of age = 20 lbs

The weight of 4 years of age = 42 lbs

Now we have to determine the average rate of change between 1 year and 4 years  of age.

The input (years) has changed by = 4 years - 1 year = 3 years

The output has changed by = 42 lbs - 20 lbs = 22 lbs

Average rate of change = Output ÷ Input

Average rate of change = [tex]\frac{22\text{ lbs}}{3\text{ years}}[/tex]

Average rate of change = 7.33 lbs per year

Therefore, the average rate of change between 1 year and 4 years  of age is 7.33 lbs per year.


Related Questions

You and your brother always flip a special golden dollar coin to decide who gets to select the music when the two of you are in the car. The coin has come up heads (in your brother’s favor) on 8 of the last 10 flips.

Do 10 flips provide convincing evidence that your brother is using an unfair coin to gain an advantage?

Yes, the probability of flipping heads with a fair coin is 0.5. He should have gotten heads exactly 5 times.
No, there is no way to determine the probability of flipping heads.
Maybe, if the coin comes up tails on 8 of the next 10 flips, then he is using a fair coin.
No, 10 trials (flips) is not enough evidence to determine if the coin is fair. We would need many, many more flips to determine the true proportion of heads for this coin.

Answers

Answer:

No, 10 trials (flips) is not enough evidence to determine if the coin is fair. We would need many, many more flips to determine the true proportion of heads for this coin.

This is the answer Edge 2020

Statement fourth "No, 10 trials (flips) is not enough evidence to determine if the coin is fair. We would need many, many more flips to determine the true proportion of heads for this coin" is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that

shows the happening of the event.

We have:

You and your brother flip a special golden dollar coin to decide who gets to select the music when the two of you are in the car.

As we know the coin has two sides so

The total outcomes = 2

Then the probability of getting hear or tell is 1/2 or 0.5

If the coin has come up heads(in your brother's favor) on 8 of the last 10 flips.

Since the number of flips is too less for the evidence that your brother is using an unfair coin to gain an advantage.

Thus, statement fourth "No, 10 trials (flips) is not enough evidence to determine if the coin is fair. We would need many, many more flips to determine the true proportion of heads for this coin" is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …

Answers

Answer:

The common difference d is d = -3

The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

[tex]a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3[/tex]

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: [tex]a_n=a_{n-1}+d[/tex]

We have found common difference d = -3

So, the recursive formula will be:

[tex]a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3[/tex]

The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]

A. 50 degrees
B. 130 degrees
C. 9 units
D.22 units
E. 13 units

Answers

Answer: all i can do hope this helps a bit 2. 130 degrees

5. 13 units

(4x5)to the power of 2-6+3=​

Answers

Answer:

if i understood right..

Step-by-step explanation:

... 2-6+3= 1

4×5= 20

1×20=20

the answer is 20.

I'm sorry if i understood the wrong thing.

397 i think! hope this is correct!

Now let's assume that you have a newer toilet that uses 6 L per flush, but you are considering upgrading to a dual-flush toilet. If you flush the toilet four times per day, but three of those times you could use the 3 L flush, how many liters of water would you save in 1 year

Answers

Answer: 3,285 Liters

Step-by-step explanation:

In the actual case, all your flushes consume 6 L of water.

You flush 4 times per day, then you consume 4 times 6 L per day, this is:

4*6L = 24 L per day.

And in one year there are 365 days, then in one year you consume:

365*24 L = 8,760 L

Now, if you upgrade the toilet, now per day you use:

one time 6 L and 3 times 3 L

Then in day, you use:

1*6 L + 3*3 L = 6L + 9L = 15L

And in the complete year, you will use 365 times that, which is:

365*15 L = 5,475 L

The amount of water that you would save is equal to the difference between the amount that you use in one year with no upgrade (8,760 L) and the amount that you would use in a year if you upgraded your toilet ( 5,475 L)

The difference is:

D = 8,760 L - 5,475 L = 3,285 L

This means that, in this situation, you would save 3,285 liters of water per year if you upgrade your toilet.

Find the vertex of the parabola. y = negative 4 x squared + 24 x minus 35 a. ( -3, 1) c. ( 3, 1) b. ( -3, -1) d. ( -1, -3)

Answers

Answer:

(3, 1)

Step-by-step explanation:

y = -4x² + 24x - 35

Find the vertex by using the formula:

(h, k) → [tex]\displaystyle \Big [ -\frac{b}{2a}, \ f \Big (-\frac{b}{2a} \Big ) \Big ][/tex]

In this problem, we have:

a = -4 b = 24 c = -35

Using 24 for b and -4 for a, we can substitute these values into the vertex formula:

[tex]\displaystyle -\frac{b}{2a} \rightarrow -\frac{24}{2(-4)} = \frac{-24}{-8} = 3[/tex]

The h-value for the vertex is 3.

Now let's plug 3 back into the standard form equation to solve for the k-value of the vertex.

[tex]-4x^2 + 24x - 35 \rightarrow -4(3)^2+24(3)-35 = -36 + 72 - 35 = 1[/tex]

The k-value for the vertex is 1.

The vertex of the parabola is (3, 1).

I need help with this question plz

Answers

Answer:

y = 10/3x + 20

Step-by-step explanation:

First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).

m = y₁ - y₂ / x₁ - x₂

m = 30 - 40 / 3 - 6

m = -10/-3

m = 10/3

Now we know the slope is 10/3.

In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.

A dental hygienist is a health-care professional who works alongside a dentist to meet the oral health care needs of patients. Asked by one of her clients who needs to get a cavity filled what the average number of cavities a person gets filled by the time they are 50 years old, the hygienist responds that she will gather and determine not just the average, but also the median and the mode - because she would like to know this information herself. A bit of research turns up the following data table taken from a research project of a graduate student. The graduate student surveyed 20 people aged 50 from around Idaho.

Patient ID# Cavities Filled
1 1
2 8
3 7
4 9
5 11
6 12
7 7
8 5
9 2
10 0
11 8
12 9
13 7
14 6
15 8
16 9
17 8
18 9
19 8
20 8

a. What is the mean (average) number of cavities a person gets filled by age 50?
b. What is the median number of cavities a person gets filled by age 50?
c. What is the most often an occurring number of cavities filled in this data set?

Answers

Answer:

a. The mean number of cavities a person gets filled by the age of 50 is 7.1.

b. The medium number of cavities a person gets filled by the age of 50 is 8.

c. The most occuring number of cavities filled in the data set is 8.

what is the degree of x^6+4x-3​

Answers

Answer:

1.2599

Step-by-step explanation:

what is 696 divided by 8=?????????????

Answers

Answer:87

Explanation:
Calculator
“belt”-asap rocky


Cheri uses her Tune-It-Up music card to make a $12 purchase of a few of her favorite songs. Which integer represents the effect of Cheri's purchase on the balance of her music card?

A) −$12
B) −$11
C) $0
D) $12

Answers

Answer:

Step-by-step explanation:

A, -12

if she had an x amount on her card,

after the buys the songs, she will have x-12 left

A, because she is using 12 dollars so it would minus 12 dollars

Rise over run (-5,2) and (1,-2)

(4,10) and (-2,-5) slope

Answers

Answer/Step-by-step explanation:

6. Given, (-5, 2) and (1, -2):

[tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_2} [/tex]

[tex] = \frac{-2 - 2}{1 - (-5)} [/tex]

[tex] = \frac{-4}{6} [/tex]

[tex] = \frac{-2}{3} [/tex]

9. Given, (4, 10) and (-2, -5):

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_2} [/tex]

[tex] = \frac{-5 - 10}{-2 - 4} [/tex]

[tex] = \frac{-15}{-6} [/tex]

[tex] slope = \frac{5}{2} [/tex]

Question
7 - (-3)=
PLEASE HELP ME!!!

Answers

Answer:

10

Step-by-step explanation:

7-(-3)

=7+3

=10

Hope this is helpful

Answer:

10

Step-by-step explanation:

find the Pecimeter of the figure given below

Answers

Step-by-step explanation:

perimeter(P)=3+4+43+4+411

Answer:

perimeter= 4+4+3

11

Step-by-step explanation:

....

9 x 2/4 =
Nine times two fourths equals

Answers

Answer:

9/2

Step-by-step explanation:

9*2/4 = 9*1/2 = 9/2

Answer:

9/2

Step-by-step explanation:

There are 25 students performing in the holiday concert. Of the students, 11 are boys.
What decimal represents the fraction of students that are boys?

Answers

Answer:

0.44 (44%) of the students are boys.

Step-by-step explanation:

Hope this helps!

✧◝(⁰▿⁰)◜✧

Eugene wanted to make note cards by cutting pieces of paper in half. Before starting he got six more pieces to use. When he was done he had 26 half-pieces of paper. With how many pieces did he
start?

Answers

Answer:

7

Step-by-step explanation:

26/2 = 13

13 - 6= 7

Answer = 7

Answer is 7
Why?
26/2 = 13
13-6=7

Sven has a mass of 135.0 grams. On Olaf’s scale, Sven weighs 139 grams. What is the percent error of Olaf’s scale?

Answers

Answer: 3% error

Explanation: First, you want to divide 135/139. That will give you 97%, however you have to do 1-0.97 and you will get 3%.

What is the slope of the line that passes through
the points (-5, -5) and (6, – 9)?

Will give brainliest pls answer immediately!

Answers

Answer:

[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } \\ = \frac{( - 9 - ( - 5))}{(6 - ( - 5))} \\ = \frac{ - 4}{11} \\ slope = - \frac{4}{11} [/tex]

whats the unit rate for 4/5 chapters in 1/4 hour​

Answers

Answer:

Unit Rate: 16/5 chapters per hour

Step-by-step explanation:

4/5 divided by 1/4 = 4:5, 4:1 = 4/5 x 4/1 = 16/5

Anna planted 90 bulbs in 60 minutes minutes. At this rate, how many bulbs can Anna plant in 2.5 hours?

90
150
225
250

Answers

Answer: 225

Step-by-step explanation: 90 + 90 = 2hrs. 0.5 hrs = 45, so 90+90+45=180+45=225

NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Segment DO

Step-by-step explanation:

The first option is not the radius because A is going outside of the circle and it would actually be longer than the radius.

BC is too high up, and it's considered a chord, not the radius.

DE is the diameter, not the radius.

That leaves us with 1 answer remaining.

In quadrilateral ABCD m < A= 90°
m 2 C = 50° and m < B = m D.
Find the degree measure of < B.

Answers

Answer:

m∠B = 170°

Step-by-step explanation:

Sum of all angles in quadrilateral is 360°:

m∠A + m∠B + m∠C + m∠D = 360°

m∠B = 360° - m∠A - m∠C - m∠D

m∠A = 90°

m∠B = m∠D= 50°

m∠B =  360° - 90° - 50° - 50° = 170°

The school store sells pens for $0.70 each and pencils for $0.30 each. Anthony spent $2.70 to buy a total of 5 pens and pencils.How many pencils
did Anthony buy? ___ pencils

Answers

Answer:

Pencils=2

Step-by-step explanation:

Pencils-n

-0.70 - 0.70 = -3.5

0.70p + 0.30 = 2.7

-0.4n = -0.8

-0.4      -0.4

n=2

-49-X = -8x + 70
helppp

Answers

Answer:

x=17

Step-by-step explanation:Get everything to one side by using addition and subtraction and combine like terms. Once you have that set it equal to zero and put the b in Mx+b on the other side then divide it by m and you’ll have x

Pls help me I’ll brainlest

Answers

Answer: Did, Are Changed , Did not change

Step-by-step explanation:

Estimate the product of 2 & 4/11 and 16 & 1/5.
A. about 2 × 16 = 32
B. about 2 × 14 = 28
C. about 3 × 16 = 48
D. about 3 × 14 = 42

Answers

Answer:

a

Step-by-step explanation:

Determine what is closer to 2 4/11.

you would- 4/11 to get 2

you would +6/11 to get 3.

So 2 is closer

Do the same with 16 1/5

16 is closer

therefore, it is 2*16=32

I really need help on this​

Answers

Answer:

gracias por los puntos amiga

Answer:

34 inches cubed

Step-by-step explanation:

1×4×8.5=4×8.5=2×17=34

Greg worked for 4 hours and took two 15 minute breaks if he worked eight hours yesterday how many minutes in brakes did Greg take

Answers

Answer: Greg would have taken 4 breaks, you pretty much multiply the breaks by 2 because 4 x 2 is 8 hours and 2 x 2 is 4 breaks. In total he would have taken 4 breaks yesterday for a total of 60 minutes. I hope that this helped you!

Step-by-step explanation:

Can Someone Please Help Me!!!

Answers

the answer is d because range is y axis
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