The number of gallons g of fuel used on a trip varies directly with the number of miles m traveled . If a trip of 270 miles required 12 gallons of fuel, how many gallons are required for a trip of 400 miles?

17.8

270 / 12 = 22.5 miles per gallon

400 / 22.5 = ________ gallons

This is Direct Variation

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The number of gallons g of fuel used on a trip varies directly with the number of miles m traveled. If a trip of 240 miles requires 12 gallons of fuel, how many gallons are required for a trip of 600 miles?

To solve this problem, we can set up a proportion using the concept of direct variation.

Direct variation states that when two quantities are directly proportional, they change in the same ratio. In this case, the number of gallons of fuel used and the number of miles traveled are directly proportional.

Let's set up the proportion:

gallons / miles = gallons / miles

Since we know that for a trip of 270 miles, 12 gallons are required, we can substitute these values:

12 / 270 = x / 400

To find the value of x (the number of gallons required for a trip of 400 miles), we can cross-multiply and solve for x.

12 * 400 = 270 * x

4800 = 270 * x

To isolate x, divide both sides of the equation by 270:

4800 / 270 = x

x = 17.78

Therefore, we would need approximately 17.78 gallons of fuel for a trip of 400 miles.

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