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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?

User Vadim Kotov
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2 Answers

3 votes
i think the answer is

2.43
User Kadie
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3 votes

Answer:

$2.43 per gallon of gas.

Explanation:

We have been given that the amount of money it takes to fill up a gas tank varies directly with the number of gallons bought.

We know that the equation for two directly proportional quantities is in form:
y=kx, where,

k = The constant of variation and y is directly proportional to x.

To find the constant of variation for our given equation, we will substitute the given values in above equation as:


\$21.87=k*9\text{ gallons}

Let us divide both sides of our equation by 9 gallons.


\frac{\$21.87}{9\text{ gallons}}=\frac{k*9\text{ gallons}}{9\text{ gallons}}


\frac{\$2.43}{\text{ gallon}}=k

Therefore, the constant of variation is $2.43 per gallon of gas.

User Shakeeb Ahmed
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