Question

A website administrator is considering using one of the two models above to predict the total number of purchases, P, made x weeks after the website's advertisin(g campaign begins. How many more purchases are predicted by the exponential model than by the linear model 5 weeks after the advertising campaign begins?

P = 2000x
P= 500(2^x)

A. 6000
B. 8000
C. 10,000
D. 16,000

Answer 1

9514 1404 393

Answer:

A. 6000

Explanation:

Use x=5 and evaluate each model.

Linear model

P = 2000(5) = 10,000

Exponential model

P = 500(2^5) = 500(32) = 16,000

The difference in the predicted value is ...

16,000 -10,000 = 6,000 . . . more are predicted by the exponential model