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

Respuesta :

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Answer:

  A.  6000

Step-by-step 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