The value, V (m), of a comic book m months after publication has a average rate of change of - 0.04 between m = 36 and m = 60. Which statement must be true?

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.

Question

Mathematics

Maestro

26 June, 05:22

The value, V (m), of a comic book m months after publication has a average rate of change of - 0.04 between m = 36 and m = 60. Which statement must be true?

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.

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Answers (1)

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Sophia Lucas · Answer 1

Average rate of change from m=a to m=b can be found from the following formula:

f (b) - f (a) / b-a Think about the slope of lines. Because the average rate of change is using a secant line. IF the slope of the line is positive, then the line is increasing. If the slope of the line is negative, then the line is decreasing.