If 3,600 pounds of fuel is used at a rate of 450 lb/hr, how many gallons will it equate to if 1 gallon weighs 6 lbs?

To determine how many gallons the 3,600 pounds of fuel equates to, you start by recognizing the weight of one gallon of fuel, which is given as 6 pounds. To find the total number of gallons, you divide the total weight of the fuel by the weight of a single gallon.

You can calculate the number of gallons by using the formula:

[

\text{Number of gallons} = \frac{\text{Total weight of fuel (in pounds)}}{\text{Weight of 1 gallon (in pounds)}}

]

Substituting the values from the problem:

[

\text{Number of gallons} = \frac{3600 \text{ pounds}}{6 \text{ pounds per gallon}} = 600 \text{ gallons}

]

This calculation shows that 3,600 pounds of fuel corresponds to 600 gallons, confirming that the correct answer is indeed 600 gallons. This answer is derived directly from the relationship between weight and volume considering the density of the fuel provided.