Question

Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, her

Answer 1

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.
$8 = 2e^{k*3}$
$k = \frac{ln(4)}{3}$

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

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:

Step-by-step explanation:

for the exponential it is actually 64