How many gallons of gasoline are needed for an airplane to travel 2,500 miles if it uses 60 gallons for 750 miles?

To determine how many gallons of gasoline are needed for the airplane to travel 2,500 miles, you first need to establish the fuel consumption rate. The airplane consumes 60 gallons for every 750 miles traveled.

To find the fuel consumption rate per mile, you can divide the total gallons used by the miles traveled. In this case, it would be:

[ \text{Fuel consumption rate} = \frac{60 \text{ gallons}}{750 \text{ miles}} ]

This simplifies to:

[ \text{Fuel consumption rate} = 0.08 \text{ gallons per mile} ]

Next, to find out how many gallons the airplane will need to cover 2,500 miles, you multiply the distance by the fuel consumption rate:

[ \text{Gallons needed} = 2,500 \text{ miles} \times 0.08 \text{ gallons per mile} ]

Calculating this gives:

[ \text{Gallons needed} = 200 \text{ gallons} ]

Thus, the airplane would need 200 gallons of gasoline to travel 2,500 miles, making the correct answer 200 gallons. This approach highlights the importance of understanding rates in aviation maintenance