Subjects algebra

Miles Per Gallon 759Bc0

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1. **State the problem:** We need to compare the gas mileage (miles per gallon) of Nachelle's car and Zachary's car. 2. **Calculate Nachelle's miles per gallon (mpg):** Nachelle uses 13 gallons to drive 196.3 miles. Miles per gallon is calculated by the formula: $$\text{mpg} = \frac{\text{miles driven}}{\text{gallons used}}$$ So, $$\text{Nachelle's mpg} = \frac{196.3}{13} \approx 15.1$$ 3. **Calculate Zachary's miles per gallon (mpg):** From the table, Zachary's miles per gallon can be found by dividing miles by gallons for each data point. For example, at 3 gallons: $$\frac{87}{3} = 29$$ At 5 gallons: $$\frac{145}{5} = 29$$ At 7 gallons: $$\frac{203}{7} \approx 29$$ At 9 gallons: $$\frac{261}{9} = 29$$ All values are consistent, so Zachary's car gets 29 miles per gallon. 4. **Compare the two:** Nachelle's car: approximately 15.1 mpg Zachary's car: 29 mpg Since 15.1 is less than 29, Nachelle's car gets fewer miles per gallon than Zachary's car. **Final answer:** Nachelle's car gets fewer miles per gallon than Zachary's car.