Final answer:
The gas tank capacity of the car is found by dividing the range by the fuel economy. With a range of 675 miles and a fuel economy of 45 mpg, the car's gas tank can hold 15 gallons of gasoline when full.
Step-by-step explanation:
The student's question is about finding the gas tank capacity in gallons of a new car that has an average fuel economy of 45 miles per gallon (mpg) and can travel a range of 675 miles on a full tank. To solve this problem, we use the formula for calculating fuel usage:
Range (in miles) = Fuel Economy (in mpg) Ă— Gas Tank Capacity (in gallons)
To find the gas tank capacity, we rearrange the formula:
Gas Tank Capacity (in gallons) = Range (in miles) / Fuel Economy (in mpg)
Thus:
Gas Tank Capacity = 675 miles / 45 mpg = 15 gallons
This means the car's gas tank can hold 15 gallons of gasoline when full. It's important to note that this is a straightforward division problem that can be easily solved without the need for a calculator or advanced mathematics.