You fill your car with 15 gallons of gas at a cost of $45. Using fractional notation, how do you write a proportion that shows how much 5 gallons of gas will cost? Use x

to represent the unknown cost.(1 point)

1 answer

To set up a proportion to find the cost of 5 gallons of gas using the given information, we can compare the cost per gallon.

From the information provided, we know that:

  • 15 gallons of gas cost $45.

We can express this relationship as follows:

\[ \frac{15 \text{ gallons}}{45 \text{ dollars}} = \frac{5 \text{ gallons}}{x \text{ dollars}} \]

Where \( x \) represents the unknown cost for 5 gallons of gas.

So, the proportion can be written as:

\[ \frac{15}{45} = \frac{5}{x} \]

This is the proportion that represents the relationship between the gallons of gas and the cost.