Word Problem

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taylor1010

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Oct 27, 2010
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The amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. It cost $21.87 to fill up a car with gasoline with 9 gallons of gasoline. What is the constant of variation?

A.$21.87

B.$0.41

C.$9.00

D.$2.43
 
taylor1010 said:
The amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. It cost $21.87 to fill up a car with gasoline with 9 gallons of gasoline. What is the constant of variation?

A.$21.87

B.$0.41

C.$9.00

D.$2.43
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Hi taylor1010,

In this case COST = (PRICE PER GALLON) X (NUMBER OF GALLONS)

PRICE PER GALLON is the constant of variation.

We can write it this way: \(\displaystyle C=PG\)

Using your data: \(\displaystyle 21.87 = P(9)\)

Solve for P.

 
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