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

class 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?

Question

Halle Dalton

Mathematics

9 May, 11:41

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

class 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?

+4

Answers (1)

Know the Answer?

Haleigh Doyle · Answer 1

Given:

Day Tops

1 2

2?

3 8

Exponential model:

d (x) = 2^x

d (6) = 2⁶ = 2 x 2 x 2 x 2 x 2 x 2 = 64 tops

LInear:

d (x) = 2 + 2x

d (6) = 2 + 2 (6)

d (6) = 2 + 12

d (6) = 14 tops