Determine a linear function C s that fits the data Estimate

Determine a linear function C (s) that fits the data. Estimate the calories burned by the average Person on a treadmill in 1 hour at a speed of 5 miles per hour.

Solution

44) speed remains contant at 4mph

WE have two points : ( 5 deg , 525calories)

( 15 deg , 880 calories)

Find a linear equation from these two points

slope = (880 -525)/( 15 -5) = 35.5 cal/degree

C(d) = 35.5d +k .Find constant k

525 = 35.5*5 +k

k = 347.5

a) C(d) = 35.5d + 347.5

b) d= 9 deg

C(9) = 35.5*9 + 347.5 = 667 calories per hour at speed of 4 mph