Question

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

a. V(x)=85×0.75^x
b. V(x)=85×1.25^x
c. V(x)=85−0.25^x
d. V(x)=85+0.25^x

Answer 1

The correct function that represents the resale value of the textbook after x owners is V(x) = 85 * 0.75^x. For a textbook with 400 pages, the predicted cost is $2.7622578. For a textbook with 600 pages, the predicted cost is $0.698673.

Step-by-step explanation:

The correct function that represents the resale value of the textbook after x owners is option a: V(x) = 85 imes 0.75^x. This is because each previous owner decreases the value by 25%, which is equivalent to multiplying the previous value by 0.75. The initial value of the textbook is $85.

1. For a textbook with 400 pages, we can substitute x = 400 into the function and calculate:

V(400) = 85 imes 0.75^{400} = $2.7622578

1. For a textbook with 600 pages, we can substitute x = 600 into the function and calculate:

V(600) = 85 imes 0.75^{600} = $0.698673