Question

There is a linear relationship between a car’s weight and its gas mileage. On average, a car that weighs 2400 lb gets 35 mi/gal and a 3000 lb car gets 29 mi/gal. Let w = car weight and g = miles per gallon. What is an equation that models the relationship between the variables?

Answer 1

The required equation is
w - 2400 = (3000 - 2400)/(29 - 35) (g - 35)
w - 2400 = -100(g - 35)
w - 2400 = -100g + 3500
w + 100g = 3500 + 2400 = 5900
w + 100g = 5900