Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, herclass collected 2 tops. On the third day, her class collected 8 tops. Let D represent each collection
day and N represent the number of tops collected on that day.
Based on the situation, John claims the number of tops collected can be modeled by an exponential
function. Riley disagrees and claims the number of tops can be modeled with a linear function. What
is the number of tops collected on the sixth day based on the exponential model? What is the
number of tops collected on the sixth day based on the linear model?
Mrs. Eaton's class is participating in the "Box Tops for - 1

Answers

Answer 1
Answer: The exponential model would take the form: 
y=Ae^(kt)
A, the initial value is 2, we will use 3 days and 8 tops to find k, or the rate.
8 = 2e^(k*3)
k = (ln(4))/(3)

Now, plugging in 6 days:
y = 2e^{ (ln(4))/(3)*6}
y = 32

The linear would take the form:
y = mx+b
First the slope would be: (8-2)/(3-1) = 3
And to find b we could plug in the point (8,3):
8 = 3(3)+b
b = 8-9
b = -1
y = 3x-1
At x=6
y = 3(6)-1
y = 17

Thus, the exponential is almost double the result of the linear! Hope that helps. 
Answer 2
Answer:

Answer:

Step-by-step explanation:

for the exponential it is actually 64


Related Questions

Stephen does not like yogurt very much, but he loves apples. Since both make a good snack, Stephen’s mom makes a deal with Stephen. She will keep the refrigerator stocked with 5 yogurts, 2 green apples, and 3 red apples every day. Each day, Stephen will randomly pick a snack. What is the probability Stephen will not get three yogurts on three consecutive days? Use a tree diagram or area model to show all the possible outcomes in the sample space.
Which of these items is a tax form that employers send to their employees? A. W–2 form B. 1040EZ form C. tax schedule form
1) Transform the polynomial into a perfect square trinomial to solve. 3x^2+24x=27 a) {-21, -11} b) {-29,21} c) {-41,9} d) {-1,1}
The following system of equations intersects at one point. What is the y-coordinate of this point? y = -x-1 3x - 2y = 1​
What is the slope of the line that contains the points (8, 3) and (8, 7)?a. 4 b. -1/4 c. 0 d. The slope is undefined.

How do I solve: 8 – (m - 3) = 7 – 3m​

Answers

Answer:

m=-2

Step-by-step explanation:

8-(m-3)=7-3m

8-1(m)-1(-3)=7-3m

8-m+3=7-3m

-m+3m+8+3=7-3m+3m

2m+8+3=7

2m+11=7

2m=-4

m=-2

Hope this helps!

Step-by-step explanation:

So, this is how you do it.

The \/````140 is between what two whole numbers?

A.

11 and 12


B.

6 and 7


C.

4 and 5


D.

9 and 10




Answers

The answer is A, because the actual answer is 11.83

The perimeter of Jonah's square backyard is 56 meters. What is the area of Jonah's backyard?

Answers

If it is a square you would divide the 56 by 4, getting you to where each side equals 14 meters. 14x14=196 meters squared  

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f * g) (x)

Answers

 f(x) = 3x + 2 and g(x) = x² + 1
⇒(f * g) (x) = ( 3x + 2 ) × ( x² + 1 ) 
                  = 3x³ + 2x² + 3x +2

Compare the functions shown below:f(x)

x y
−3 −27
−2 −8
−1 −1
0 0
1 1
2 8
3 27
4 64
g(x)

linear graph with y intercept of negative 1 and x intercept of negative 2 h(x) = (x + 4)2 + 2


What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = 0 to x = 4?

Answers

To get the average rate of change, we simply have to use this formula:
ARC = (y2 -y1) / (x2 - x1)

For the first function:
ARC = (64 - 0) /  (4 - 0) = 16

For the second function, since it's a line, the ARC would just be equal to the slope
m = ARC = (-1 - 0) / (0 - (-2)) = -0.5

For the third function:
h(0) = 18
h(4) = 66
ARC = (66 - 18) / (4 - 0) = 12

Therefore, the order of the functions from lest to greatest according to the average rate of change on the interval from x= 0 to x = 4 is:
g(x)
h(x)
f(x)

Answer:

the answer for my flvs students is  g(x), h(x), f(x)

Step-by-step explanation:

i just took the test

Evaluate u+ xy for u=9, x=9, y=7

Answers

u+xy
On replacing for u, x and y.
=9+9*7
=9+63
=72