To calculate the total cost of the gasoline for the round trip from Austin, Texas, to Yellowstone National Park and back home, follow these steps:
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Calculate the total distance for the round trip: \[ \text{Total distance} = 2 \times \text{one-way distance} = 2 \times 1,701 \text{ miles} = 3,402 \text{ miles} \]
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Calculate the total gallons of gasoline needed: \[ \text{Total gallons} = \frac{\text{Total distance}}{\text{Miles per gallon}} = \frac{3,402 \text{ miles}}{10.5 \text{ miles per gallon}} \approx 323.14 \text{ gallons} \]
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Calculate the total cost of gasoline: \[ \text{Total cost} = \text{Total gallons} \times \text{Cost per gallon} = 323.14 \text{ gallons} \times 3.60 \text{ dollars per gallon} \approx 1,165.66 \text{ dollars} \]
Thus, Clinton and Stacy will spend approximately $1,165.66 on gasoline for their round trip to Yellowstone National Park and back home.