Suppose the formula for weight of the gas was G = W^b, where b can be varied in the range 0.50–0.75. Graph the range of a 3.69 × 10³ lbf car as a function of b.

Suppose that the weight of the gasoline in lbf in a car’s gas tank equaled the weight of the car in lbf to the 2/3 power (i.e., if G = gasoline weight in lbf, and W = car weight in lbf, then G = W^2/3). Assume that gasoline weighs 8.0 lbf/gal, and gas mileage, measured in miles/gallon or mpg, varies with weight according to the empirical formula:

Gas mileage in mpg = (84;500 mpg ∙ lbf) ÷ (car’s weight in lbf) - 3:0 mpg