Question
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
$2.74
$30.36
$29.52
$52.48
Answers
GPT-4o mini
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:
\[
\boxed{29.52}
\]
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:
\[
\boxed{29.52}
\]