Final answer:
Beth's car gets 28 miles per gallon, and she needs a total of 9 gallons to travel 252 miles. Since she already has 5 gallons, she will need an additional 4 gallons to make the trip.
Step-by-step explanation:
The question requires us to calculate the amount of gasoline needed for Beth's car to travel a certain distance. We know that Beth's car uses 12 gallons to travel 336 miles. To find out how many gallons she needs to travel 252 miles, we first calculate the car's miles per gallon (mpg) by dividing 336 by 12, which gives us 28 mpg. Next, we divide the distance Beth wants to travel (252 miles) by the mpg (28) to find out the total gallons needed, which is 9 gallons. Since Beth already has 5 gallons, we subtract that from the total needed (9 - 5), resulting in 4 more gallons needed for the trip.