Question

A car company conducts a fuel efficiency test for two new car models. -For model A, the data for distance traveled and number of gallons of gasoline consumed are shown in the following table.For model B, the distance traveled and the number of gallons consumed is shown in the following graphWhat is the fuel efficiency (unit rate) of each car model in miles per gallon? Which of the cars has the best fuel efficiency?Model A : ----------------Model B: ------------------

Answer 1

To find the fuel effiency you calculate the slope of each model (m), use the next formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Take x as the gallons and y as the distance

Model A:

$m=\frac{60mi-30mi}{1.4gal-0.7\text{gal}}=\frac{30mi}{0.7\text{gal}}\approx42.86\frac{mi}{gal}$

Model B:

$m=\frac{40mi-20mi}{3.0gal-1.5\text{gal}}=\frac{20mi}{1.5gal}\approx13.33\frac{mi}{gal}$

Then, model A have a fuel effiency of 42.86 mi/gal and model B of 13.33 mi/gal

The best fuel effiency is 42.86 miles per gallon (model A)