Question

Marcus's gas tank holds 10 gallons, and his car gets 32 miles per gallon, at his current speed of 65 miles per hour. If he maintains this speed, will he make it to Atlanta, which is 200 miles away, with a 50.5% full gas tank without having to stop?

Answer 1

Marcus's car, with a 50.5% full gas tank and a fuel efficiency of 32 miles per gallon, will not make it 200 miles to Atlanta without needing to stop for gas, as it can only travel 161.6 miles with the gas available.

Step-by-step explanation:

The student's question is about calculating whether Marcus's car, with its current fuel efficiency and amount of gas, can make it a given distance without stopping for a refill. Marcus's car gets 32 miles per gallon and the gas tank holds 10 gallons. With the tank at 50.5% full, he has 5.05 gallons of gas. To find out if he can travel 200 miles to Atlanta without stopping, we multiply the number of gallons in the tank by the car's fuel efficiency.

5.05 gallons × 32 miles per gallon = 161.6 miles. Since 161.6 miles is less than 200 miles, Marcus will not be able to make it to Atlanta without refueling.