Question

Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 28 gallons of gasoline to travel 504 miles. If the car travels 450 miles, how much gasoline does it need?

Answer 1

To find out how much gasoline the car needs to travel 450 miles, we can set up a proportion based on the given information:

504 miles is to 28 gallons as 450 miles is to x gallons

(504 miles / 28 gallons) = (450 miles / x gallons)

Simplifying the equation, we get:

504/28 = 450/x

18 = 450/x

Now, we can solve for x by cross multiplying:

18x = 450

x = 450 / 18

x = 25

Therefore, the car needs 25 gallons of gasoline to travel 450 miles.