The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?
Answer
A
The value of the comic book decreased by a total of $0.04 between m = 36 and m = 60.
B
The value of the comic book increased by a total of $0.04 between m = 36 and m = 60.
C
The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.
D
The value of the comic book increased by an average of $0.04 each month between m = 36 and m = 60.
Explanation
Average rate of change is the change in value divided by the change in time. Since the rate is −$0.04 per month, the comic book’s value decreased by an average of $0.04 each month from month 36 to month 60. The interval is 24 months, so the total decrease would be $0.04 × 24 = $0.96, not $0.04.
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