Final answer:
Keith's car has a fuel economy of 26.67 miles per gallon. To drive 296 miles, he would need approximately 11.09 gallons of gas.
Step-by-step explanation:
To find out how many gallons of gas Keith would need to drive 296 miles, we need to calculate his car's fuel economy and then use that to determine the gas needed for the new distance.
- First, calculate the fuel economy by dividing the total miles driven by the gallons of gas used. Keith drove 320 miles using 12 gallons, so the fuel economy is 320 miles ÷ 12 gallons = 26.67 miles per gallon.
- Next, calculate the gas needed for 296 miles by dividing the new distance by the fuel economy. That's 296 miles ÷ 26.67 miles per gallon = 11.09 gallons.
Therefore, Keith would need approximately 11.09 gallons of gas to drive 296 miles.