Question

An athletic trainer for Newcastle United in England keeps track of the amount of water players drink during preseason training. The trainer observed that the amount of water consumed is a linear function of the temperature in a a given day. The trainer find that when it is 53 degrees F the players consume about 164 gallons of Powerade, and when it’s 63 degrees F the players consume about 214 gallons of Powerade

A) write a linear function to model the relationship between the gallons of water consumed and the temperature

B) explain the meaning of the slope in the context of this problem

Answer 1

using slope-intercept form,
y = mx+b
so,
53m+b=164
63m+b=214
now solve for m and b

or, using point-slope form,
since the slope is (214-164)/(63-53) = 5
y-164 = 5(x-53)