Question

The equation y = 1.2x represents the rate, in beats per second, that Lee's heart beats. The graph represents the rate that Nancy's hear beats. Determine whose heart is beating at a faster rate.

Answer 1

Nancy's heart rate is higher than Lee's heart rate.

Explanation:

Equation for the heart beats of Lee is,

y = 1.2x

And the heart beats of Nancy is represented by the graph.

Higher the slope of the line = Faster the hear rate.

Slope of line represented by y = 1.2x,

m = 1.2

Similarly, slope of the line given in the graph =
`\frac{\text{Rise}}{\text{Run}}`

=
`(5)/(4)`

= 1.25

Since, slope of the line representing Nancy's heart rate is greater than slope of the line representing Lee's heart rate.

Therefore, Nancy's heart rate is faster than Lee's heart rate.