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Chapter 8: Q 635. (page 1031)

The price that Tyler pays for gas varies directly with the number of gallons he buys. If 24 gallons cost him $59.76, what would 30 gallons cost?

Short Answer

Expert verified

30 Gallons of gas will cost$74.70.

Step by step solution

01

Step 1. Given information.

The price that Tyler pays for gas varies directly with the number of gallons he buys.

24 gallons cost him $59.76.

Let's take p=the price of the gas.

And g=the number of gallons bought.

g=24whenp=$59.76

02

Step 2. Write the formula for direct variation and substitute given values.

The direct variation formula is y=kx.

we will use pin place of yand gin place of x.

p=kg

Now substitute the given values for the variable,

59.76=k2459.7624=k2.49=k

Rewrite the general equation with the value we found for k,

p=2.49g

Now find pwheng=30,

p=2.49gp=2.4930p=$74.70

Therefore, 30 gallons of gas will cost$74.70.

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