Question

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.

Answer 1

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

Explanation:

Answer 2

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

Explanation:

The average rate of change for the function f(x) from
`x_1=a` and
`x_2=b` is

`(f(b)-f(a))/(b-a)`

It is a measure of how much the function changed per unit, on average, over that interval.

Actually, this is the slope of the line passing through two points on the graph of the function.

If the average rate of change of the function f(x) between m = 36 and m = 60 is -0,04, it means that the value of the comic book decreased (because of negative number -0.04) by an average of $0.04 each month (a unit in this case is a month) between m = 36 and m = 60.