A 20 year old woman whose resting heart rate is 65 beats per minute should not e

Question

A 20 year old woman whose resting heart rate is 65 beats per minute should not exceed a maximum heart rate of 173. A 20 year old woman whose resting heart rate is 90 beats per minute should not exceed a maximum heart rate of 178. List the data points (r, M), with r = resting heart rate and M = maximum heart rate. Find the linear equation which fits the data. Use the equation to predict the maximum heart rate for a woman whose resting heart rate is 70 beats per minute. What is the data point for the first woman?

Explanation / Answer

resting heart rate 65 heart rate ; max. heart rate 173 heart rate

( r , M) --- ( 65 , 173) ( 90, 178)

Linear equation : slope =( 178 - 173)/( 90 - 65) = 5/25 = 1/5

y = mx + c ; y = x/5 + c

178 = 90/5 + c; c= 178 - 18 = 160

y = x/5 + 160

x = 70 ; y = 70/5 + 160 = 16 +160 = 176 max. heart rate

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