the value, v(m), of a comic - book m months after publication has an average rate of change of - 0.04…

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?\no the value of the comic book decreased by a total of $0.04 between m = 36 and m = 60.\no the value of the comic book increased by a total of $0.04 between m = 36 and m = 60.\no the value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.\no the value of the comic book increased by an average of $0.04 each month between m = 36 and m = 60.

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?\no the value of the comic book decreased by a total of $0.04 between m = 36 and m = 60.\no the value of the comic book increased by a total of $0.04 between m = 36 and m = 60.\no the value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.\no the value of the comic book increased by an average of $0.04 each month between m = 36 and m = 60.

Answer

Explanation:

Step1: Recall average rate - of - change formula

The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, the function is $V(m)$ and the interval is $[36,60]$, and the average rate of change is $\frac{V(60)-V(36)}{60 - 36}=- 0.04$.

Step2: Interpret the average rate of change

The average rate of change of $-0.04$ means that for each unit increase in $m$ (each month) in the interval $[36,60]$, the value of the comic - book $V(m)$ changes by $-0.04$. A negative average rate of change indicates a decrease. So, on average, the value of the comic book decreases by $0.04$ each month between $m = 36$ and $m = 60$.

Answer:

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