Question

Victor was having a hard time deciding which new vehicle he should buy. He decided to make the final decision based on the gas efficiency of each car. A car that is more gas efficient gets more miles per gallon of gas. When he asked the manager at each car dealership for the gas mileage data, he received two different representations, which are shown below.

Answer 1

Victor should buy Legend because it has a better unit rate

Explanation:

See attachment for complete question.

To determine which car has more gas efficiency, we have to calculate the slope of each car.

Vehicle 1: Legend

Take any two corresponding points from the table

`(x_1,y_1) = (4,72)`

`(x_2,y_2) = (12,216)`

The slope is then calculated using;

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (216 - 72)/(12 - 4)`

`m = (144)/(8)`

`m = 18`

This implies that this vehicle (legend) travels 18 miles per gallon of gas

Vehicle 2: Supreme

Take any two corresponding points from the graph

`(x_1,y_1) = (0,0)`

`(x_2,y_2) = (15,250)`

The slope is then calculated using;

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (250 - 0)/(15 - 0)`

`m = (250)/(15)`

`m = 16.7`

This implies that this vehicle (supreme) travels 16.7 miles per gallon of gas

Base on the calculations above, Victor should buy Legend because it has a better unit rate