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30 September, 19:10

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? The value of the comic book decreased by a total of $0.04 between m = 36 and m = 60. The value of the comic book increased by a total of $0.04 between m = 36 and m = 60. The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60. 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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  1. 30 September, 19:40
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    The value of the comic book decreased by an average of $0.04 each

    month between m = 36 and m = 60 ⇒ 3rd answer

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - Average rate of change is the change in the value of a quantity

    divided by the time elapsed

    - An average rate of change function is a process that calculates

    the amount of change in one quantity divided by the corresponding

    amount of change in another quantity

    - The average rate = change of quantity/change in time

    - The average rate = change of quantity per unit time

    - If the average rate is increasing then its value is positive

    - If the average rate is decreasing then its value is negative

    - Lets solve the problem

    ∵ V (m) is the value of a comic book, m months after publication

    ∵ It has an average rate of change of - 0.04 between m = 36

    and m = 60

    ∵ The value of the rate of change is negative

    ∴ The rate of change is decreasing

    ∵ The average rate = change of quantity per unit time

    ∴ The value of the comic book decreased by an average of $0.04

    each month between m = 36 and m = 60
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