Maria needed 5 gallons of gas to fill her car's gas tank. The mileage odometer read 38,900 miles. When the odometer read 39,080, Maria filled the tank with 9 gallons. At the end of the trip, she filled the tank with 14 gallons, and the odometer read 39,346 miles. How many miles per gallon did she get for the entire trip? Maria got approximately miles per gallon. (Round to the nearest tenth.)

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter1: Foundations
Section1.10: Systems Of Measurement
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Maria needed 5 gallons of gas to fill her car's gas tank. The mileage odometer read 38,900 miles. When the odometer read 39,080, Maria filled the tank with 9 gallons. At the end of the trip, she filled the tank with 14 gallons, and the odometer read 39,346 miles. How many miles per gallon did she get for the entire trip?

---

Maria got approximately [ ] miles per gallon. (Round to the nearest tenth.)

### Explanation:

1. **Odometer Reading:**
   - Starting: 38,900 miles
   - Intermediate: 39,080 miles
   - Final: 39,346 miles

2. **Miles Driven:**
   - From Start to Intermediate: 39,080 - 38,900 = 180 miles
   - From Intermediate to Final: 39,346 - 39,080 = 266 miles
   - Total Miles for the Entire Trip: 180 + 266 = 446 miles

3. **Gas Used:**
   - First Stop: 5 gallons
   - After 180 Miles: 9 gallons
   - Final Top-up: 14 gallons
   - Total Gallons Used: 5 + 9 + 14 = 28 gallons

4. **Miles per Gallon Calculation:**
   - Total Miles Driven / Total Gallons Used = 446 miles / 28 gallons = 15.93 miles/gallon
  
5. **Rounded Result:**
   - Rounded to the nearest tenth: 15.9 miles per gallon

Maria got approximately 15.9 miles per gallon on her entire trip.
Transcribed Image Text:Maria needed 5 gallons of gas to fill her car's gas tank. The mileage odometer read 38,900 miles. When the odometer read 39,080, Maria filled the tank with 9 gallons. At the end of the trip, she filled the tank with 14 gallons, and the odometer read 39,346 miles. How many miles per gallon did she get for the entire trip? --- Maria got approximately [ ] miles per gallon. (Round to the nearest tenth.) ### Explanation: 1. **Odometer Reading:** - Starting: 38,900 miles - Intermediate: 39,080 miles - Final: 39,346 miles 2. **Miles Driven:** - From Start to Intermediate: 39,080 - 38,900 = 180 miles - From Intermediate to Final: 39,346 - 39,080 = 266 miles - Total Miles for the Entire Trip: 180 + 266 = 446 miles 3. **Gas Used:** - First Stop: 5 gallons - After 180 Miles: 9 gallons - Final Top-up: 14 gallons - Total Gallons Used: 5 + 9 + 14 = 28 gallons 4. **Miles per Gallon Calculation:** - Total Miles Driven / Total Gallons Used = 446 miles / 28 gallons = 15.93 miles/gallon 5. **Rounded Result:** - Rounded to the nearest tenth: 15.9 miles per gallon Maria got approximately 15.9 miles per gallon on her entire trip.
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