Question

in PE class the students recorded their number of heartbeats after exercising. Below is a chart with the number of heartbeat recording after 30, 50, and 70 seconds of exercise. What is the rate of change /unit rate of the data and heart beats per minute?

Answer 1

Given:

In PE class the students recorded their number of heartbeats after exercising as shown in the given table.

We will find the rate of change of the data

We will use the following formula:

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

The function f will be No. of heartbeats, and the values of (a) and (b) are the time in seconds

so,

When a = 30, f(a) = 51

and when b = 50, f(b) = 85

So, the rate of change will be as follows:

`(51-85)/(30-50)=(-34)/(-20)=1.7`

The result is 1.7 heartbeats per second

We will find the rate as the heartbeats per minute

So, we will multiply the result by 60

So, the rate = 1.7 * 60 = 102

So, the answer will be the first option 102