Ms. Rodriguez wants to compare the gas mileage of two vehicles, vehicle A and vehicle B.

. Vehicle A gas mileage is 37 miles per gallon.
. the linear relationship between the number of gallons of gas in vehicle b tank and the total miles driven is shown.
Vechicle B´s Gas mileage
gallons of gas in tank Total car mileage
10 12,284
9 12,326
8 12,368
7 12,410
complete the statements comparing the gas mileage of the two vehicles.
vehicle B´s gas mileage is ___________ miles per gallon. therefore, ____________ is able to drive more miles per gallon.

1 answer

To calculate vehicle B's gas mileage, we can use the linear relationship between the number of gallons of gas in the tank and the total car mileage. From the given data, we can see that when there are 10 gallons of gas in the tank, the total car mileage is 12,284. Similarly, when there are 9 gallons of gas, the total car mileage is 12,326, and so on.

To find the gas mileage, we need to divide the change in total car mileage by the change in gallons of gas in the tank. Let's calculate it:

Gas mileage for vehicle B = (Total car mileage at 10 gallons - Total car mileage at 9 gallons) / (Gallons of gas at 10 gallons - Gallons of gas at 9 gallons)
= (12,326 - 12,284) / (9 - 10)
= 42 miles per gallon

Therefore, vehicle B's gas mileage is 42 miles per gallon. Comparing with vehicle A's gas mileage of 37 miles per gallon, we can conclude that vehicle B is able to drive more miles per gallon.