Jason is a trainer for the Mamaroneck Jets football team. He keeps track of the amount of water that the players consume throughout practice. Jason observes that the amount of water consumed is linear to the temperature on each given day. Jason finds that when it is 90°F the players consume 220 gallons of water and when it is 76°F the players consume 178 gallons of water.

Question

Predict how many gallons of water would be consumed if the temperature was 83°F. *

Predict what the temperature would be if the players consumed 150 gallons of water (to the nearest tenth).

Answer 1

You have two points: (90,220) and (76,178)
The slope of the line joining those two points is (220-178)/(90-76) = 3
so the equation of the line is
y-178 = 3(x-76)
So plug in x=83 to find y (the # of gallons)
plug in y=150 to find x (the temp)