Two friends, Arianna and Bo, had just bought their first cars. Bo uses 2 gallons of gas to drive 41.4 miles in his car. The table below represents the number of miles, yy, that Arianna can drive her car for every xx gallons of gas.

Arianna's Gas Mileage
Gallons (x) Miles (y)
44 104, point, 4104.4
1010 261261
1212 313, point, 2313.2
1414 365, point, 4365.4
How much farther can Arianna's car travel on one gallon of gas than Bo's car?

1 answer

To find out how much farther Arianna's car can travel on one gallon of gas compared to Bo's car, we need to calculate Arianna's gas mileage for one gallon.

Looking at the table, when Arianna uses 4 gallons of gas, she can drive 104.4 miles. So, her gas mileage for one gallon can be calculated as:

104.4 miles / 4 gallons = 26.1 miles/gallon

Therefore, Arianna's car can travel 26.1 miles on one gallon of gas.

Now, we need to find out how much farther Arianna's car can travel than Bo's car on one gallon of gas.

Arianna's car can travel 26.1 miles on one gallon of gas, while Bo's car can only travel 41.4 miles on 2 gallons of gas.

The difference in mileage between Arianna and Bo for one gallon of gas is:

41.4 miles (Bo's car) - 26.1 miles (Arianna's car) = 15.3 miles

Therefore, Arianna's car can travel 15.3 miles farther on one gallon of gas compared to Bo's car.