Question

select the correct average rate of change from x = 0 to x = 10.
4 boats per minute
-4 boats per minute
110 boats per minute
70 boats per minute

Explanation:

Step1: Recall average rate - of - change formula

The average rate of change of a function $y = f(x)$ from $x = a$ to $x = b$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 0$, $b = 10$, and the function represents heart rate (beats per minute). At $x = 0$, the heart - rate $f(0)=70$ beats per minute, and at $x = 10$, the heart - rate $f(10)=110$ beats per minute.

Step2: Calculate the average rate of change

Substitute the values into the formula: $\frac{f(10)-f(0)}{10 - 0}=\frac{110 - 70}{10}=\frac{40}{10}=4$ beats per minute.

Answer:

A. 4 beats per minute