Question

Two friends, Bo and Daniel, had just bought their first cars. The equation y=31.5x represents the number of miles, y, that Daniel can drive his car for every x gallons of gas. Bo uses 9 gallons of gas to drive 256.5 miles in his car.

How much farther can Daniel's car travel on one gallon of gas than Bo's car?

Answer 1

Daniel's car can travel 3 miles farther on one gallon of gas than Bo's car.

Step-by-step explanation:

To find out how much farther Daniel's car can travel on one gallon of gas compared to Bo's car, we need to calculate the distance Daniel can travel on one gallon of gas and the distance Bo can travel on one gallon of gas.

Given that Bo uses 9 gallons of gas to drive 256.5 miles, Bo can travel 256.5 miles / 9 gallons = 28.5 miles on one gallon of gas.

Since the equation y = 31.5x represents the number of miles Daniel can drive for every x gallons of gas, we can substitute 1 gallon of gas (x = 1) into the equation to find how far Daniel can travel: y = 31.5 * 1 = 31.5 miles.

Therefore, Daniel's car can travel 31.5 miles on one gallon of gas, which is 31.5 - 28.5 = 3 miles farther than Bo's car.