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Temka [501]
3 years ago
15

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?
Mathematics
2 answers:
Snowcat [4.5K]3 years ago
8 0
I think the answer is 

2.43
Arisa [49]3 years ago
6 0

Answer:

$2.43 per gallon of gas.

Step-by-step 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.

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