Question

The value of John's baseball card collection decreases exponentially over time, and the value of his silver collection increases exponentially over time. If the value of John's two collections combined t years from now is given by the function V = 500(1.05)^2t + 600(0.95)^t, which statement must be true?

A) John's silver collection is more valuable currently than his baseball collection.

B) The value of John's silver collection changes at a faster rate than the value of John's baseball card collection.

C) John's baseball card collection decreases in value by 10% every six months.

D) The total value of the two collections remains constant over time.

Answer 1

Answer: correct answer is B

Explanation:

The value of John's silver collection changes at a faster rate than the value of John's baseball card collection.

V = 500(1.05)^2t + 600(0.95)^t

Because of 2t

Every 6 month, t = 2t