The amount of money spent at the gas station varies directly with the number of gallons purchased. When 12 gallons of gas were purchased, the cost was $39.36. How much would 9 gallons of gas cost?

$2.74

$30.36

$29.52

$52.48

1 answer

To find the cost of 9 gallons of gas, we first need to determine the cost per gallon from the information given.

We know that when 12 gallons were purchased, the cost was $39.36. We can calculate the cost per gallon as follows:

\[ \text{Cost per gallon} = \frac{\text{Total cost}}{\text{Number of gallons}} = \frac{39.36}{12} \]

Calculating the cost per gallon:

\[ \text{Cost per gallon} = 3.28 \]

Now that we know the cost per gallon, we can calculate the cost of 9 gallons:

\[ \text{Cost for 9 gallons} = \text{Cost per gallon} \times \text{Number of gallons} = 3.28 \times 9 \]

Calculating the total cost for 9 gallons:

\[ \text{Cost for 9 gallons} = 29.52 \]

Thus, the cost for 9 gallons of gas is $29.52.

The answer is:

\[ \boxed{29.52} \]