the graph below shows trevors heart rate in beats/min² during typical daily workout. what is the average…

the graph below shows trevors heart rate in beats/min² during typical daily workout. what is the average rate of change in the trevors heart rate in beats/min² between minutes 15 and 35? a -1.5 beats/min² b 1.5 beats/min² c -0.67 beats/min² d 0.67 beats/min²

the graph below shows trevors heart rate in beats/min² during typical daily workout. what is the average rate of change in the trevors heart rate in beats/min² between minutes 15 and 35? a -1.5 beats/min² b 1.5 beats/min² c -0.67 beats/min² d 0.67 beats/min²

Answer

Explanation:

Step1: Identify the heart - rate values at given times

At $x = 15$ minutes, the heart - rate $y_1=110$ beats/min. At $x = 35$ minutes, the heart - rate $y_2 = 80$ beats/min.

Step2: Use the average rate of change formula

The formula for 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, $a = 15$, $b = 35$, $f(15)=110$ and $f(35)=80$. So the average rate of change is $\frac{y_2 - y_1}{35 - 15}=\frac{80 - 110}{35 - 15}$.

Step3: Calculate the value

$\frac{80 - 110}{35 - 15}=\frac{- 30}{20}=-1.5$ beats/min.

Answer:

A. -1.5 beats/min