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 find a proportion to determine the cost of 5 gallons of gas, you can set it up in fractional notation as follows:

The first step is to represent the known quantity and cost of gas in a fraction:

15 gallons of gas costs $45, which can be written as:

• \(\frac{15}{45}\)

Now, for the unknown cost \(x\) for 5 gallons, it can be represented as:

• \(\frac{5}{x}\)

Setting these two fractions equal to each other gives you the proportion:

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

Thus, the correct answer is:

Start Fraction 15 over 45 End Fraction equals Start Fraction x over 5 End Fraction

I apologize for any confusion. Let's clarify the proportion correctly.

You want to find a proportion to determine the cost \(x\) for 5 gallons of gas, given that 15 gallons cost $45.

The proportion can indeed be set up as follows:

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

This represents that the ratio of gallons to cost for the known quantities is equal to the ratio of gallons to cost for the unknown quantity.

So the correct representation in fractional notation is:

Start Fraction 15 over 45 End Fraction equals Start Fraction 5 over x End Fraction

If you'd like further assistance or clarification, please let me know!