Questions: 6. How many miles does the student drive in one week? Assume the student drives to campus and then back home each day they attend class. Round answer to the nearest tenth, if necessary. 7. The semester at RCCC is 16 weeks long. Using your answer from #6, how many total miles will the student drive in one semester? Again, assume the student drives to campus and then back home each day they attend class. Round answer to the nearest tenth, if necessary. 8. The student’s car gets 26.3 miles per gallon. Using your answer from #7, how many gallons of gas will this student use driving to and from campus for the entire semester? Round to the nearest tenth, if necessary.

6. How many miles does the student drive in one week? Assume the student drives to campus and then back home each day they attend class. Round answer to the nearest tenth, if necessary. 7. The semester at RCCC is 16 weeks long. Using your answer from #6, how many total miles will the student drive in one semester? Again, assume the student drives to campus and then back home each day they attend class. Round answer to the nearest tenth, if necessary. 8. The student’s car gets 26.3 miles per gallon. Using your answer from #7, how many gallons of gas will this student use driving to and from campus for the entire semester? Round to the nearest tenth, if necessary.

Solution

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Solution Steps

Step 1: Calculate Weekly Miles Driven

The student attends class 4 days a week (M/Tu/W/Th). Each day, they drive to campus and back home, totaling \(2 \times 11.4 = 22.8\) miles per day.
Weekly miles: \(4 \times 22.8 = 91.2\) miles.

Step 2: Calculate Semester Miles Driven

The semester is 16 weeks long. Using the weekly miles from Step 1:
Total semester miles: \(16 \times 91.2 = 1459.2\) miles.

Step 3: Calculate Gallons of Gas Used

The car’s gas mileage is 26.3 mpg. Using the total semester miles from Step 2:
Gallons used: \(\frac{1459.2}{26.3} \approx 55.5\) gallons.

Final Answer

For question 6: \( \boxed{91.2} \) miles
For question 7: \( \boxed{1459.2} \) miles
For question 8: \( \boxed{55.5} \) gallons

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