Question

uriguez wants to compare the gas mileage of two vehicles, vehicle a’s gas mileage is 37 miles per gallon. the linear relationship between the number of gallons of gas in vehicle b’s tank and the total miles driven is shown. vehicle b’s gas mileage gallons of gas in tank total car mileage 10 12,284 9 12,326 8 12,368 7 12,410

Explanation:

Step1: Calculate gas - mileage of Vehicle B

The gas - mileage of a vehicle is the change in miles driven per change in gallons of gas. For Vehicle B, when the number of gallons of gas changes from 10 to 9 (a change of $\Delta g=- 1$ gallon), the total car mileage changes from 12284 to 12326 (a change of $\Delta m = 12326 - 12284=42$ miles). The gas - mileage $m_{B}$ of Vehicle B is given by the formula $m_{B}=\frac{\Delta m}{\Delta g}$. So, $m_{B}=\frac{12326 - 12284}{9 - 10}=\frac{42}{-1}=- 42$ (the negative sign just indicates the relationship between decrease in gas and increase in miles; the magnitude of gas - mileage is 42 miles per gallon).

Step2: Compare gas - mileages

Vehicle A has a gas - mileage of $m_{A} = 37$ miles per gallon and Vehicle B has a gas - mileage of $m_{B}=42$ miles per gallon.

Answer:

Vehicle B has a higher gas - mileage than Vehicle A.