Question

20. A doctor measured a patient's resting pulse rate at 80 beats per minute. Draw a

graph to show the relationship between time and the number of times the patient's
heart beats.
Use it to estimate how many times the patient's heart will beat in 18 minutes. Write an
equation in Y = mx + b form.,

Answer 1

1440 beats

Explanation:

Given that a doctor measured a patient's resting pulse rate at 80 beats per minute.

i.e. if no of beats in a dependent variable on time then we have a linear relationship between y - no of beats and x - no of minutes

Here slope= rate of change of y with respect to x
`= m=80`

And we have y intercept as 0 since when time is 0 no heart beat. i.e. (0,0) is a point on the line

The equation would be

`y=80x`,x≥0

When
`x=18, \\y = 18(80)\\y = 1440` beats.

Graph is enclosed.