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.

Question

Arianna's Gas Mileage
Gallons left bracket x right bracketGallons (x) Miles left bracket y right bracketMiles (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?

Answer 1

To find out how much farther Arianna's car can travel on one gallon of gas compared to Bo's car, we need to first calculate the gas mileage for Arianna's car for each corresponding number of gallons in the table.

For Arianna's car:
- For 4 gallons, she can drive 104.4 miles, which means she can drive 104.4/4 = 26.1 miles per gallon.
- For 10 gallons, she can drive 261 miles, which means she can drive 261/10 = 26.1 miles per gallon.
- For 12 gallons, she can drive 313.2 miles, which means she can drive 313.2/12 ≈ 26.1 miles per gallon.
- For 14 gallons, she can drive 365.4 miles, which means she can drive 365.4/14 ≈ 26.1 miles per gallon.

Since Arianna's car can travel approximately 26.1 miles per gallon, and Bo's car can travel 41.4 miles per 2 gallons, we can calculate the difference in mileage for one gallon of gas between the two cars:

41.4 miles/2 gallons = 41.4/2 = 20.7 miles per gallon for Bo's car
26.1 miles per gallon for Arianna's car

Therefore, Arianna's car can travel 26.1 - 20.7 = 5.4 miles farther on one gallon of gas compared to Bo's car.