Unit 5: Ratios and Proportions (Standards \( 3-5 \) ) 10.) A large jet uses 7,500 gallons of fuel to fly 1,500 miles. What is the unit rate of fuel used by this vehicle? Show your work! Answer: \( \quad 5 \)

To find the unit rate of fuel used by the jet, we need to determine how many gallons of fuel are used per mile. We can do this by dividing the total gallons of fuel by the total miles flown. ### Step-by-step solution: 1. **Identify the known values:** - Total gallons of fuel used: \( 7,500 \) gallons - Total miles flown: \( 1,500 \) miles 2. **Set up the calculation for the unit rate:** \[ \text{Unit Rate} = \frac{\text{Total Gallons}}{\text{Total Miles}} = \frac{7500 \text{ gallons}}{1500 \text{ miles}} \] 3. **Perform the division:** \[ \text{Unit Rate} = \frac{7500}{1500} \] 4. **Calculate the result:** \[ \text{Unit Rate} = 5 \text{ gallons per mile} \] ### Conclusion: The unit rate of fuel used by the jet is \( 5 \) gallons per mile.