Question

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? 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.

Answer 1

The average rate of change = Total change in value / Change in time

If the average rate of change is negative, it shows the value is deacreasing over time.

Rate is change per unit time, not the total change.


The correct answer is:

The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60. 

Answer 2

Answer:

The correct option is C.

Step-by-step explanation:

It is given that 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.

The average rate of change represents the change in the value of the comic book for each monthly.

$\text{The average rate of change}=\frac{\text{Change in the value of book}}{\text{Change in time}}$

The average rate of change = –0.04

Here, sign represents the decrease in the value of the comic book.

It means the value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.

Therefore the correct option is C.