Final answer:
Rosa's car has a fuel efficiency of approximately 26.83 miles per gallon. Multiplying this by 15 gallons gives us 402.45 miles, so she should be able to drive approximately 402.45 miles on 15 gallons of gas.
Step-by-step explanation:
The student's question pertains to proportions in math, specifically regarding fuel consumption and distance. To calculate the distance Rosa's car can travel on 15 gallons of gas, we first need to find the car's fuel efficiency. Rosa's car travels 220 miles on 8.2 gallons, so the fuel efficiency is 220 miles / 8.2 gallons, which is approximately 26.83 miles per gallon. Now, to find the distance for 15 gallons, we can multiply the fuel efficiency by the number of gallons: 26.83 miles/gallon * 15 gallons = 402.45 miles. Therefore, Rosa should be able to drive approximately 402.45 miles on 15 gallons of gas, which means the closest answer from the options provided is Option A) 413.41.