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)
Responses

1545=x5
Start Fraction 15 over 45 End Fraction equals Start Fraction x over 5 End Fraction

15:45::x:5
ratio of 15 to 45 colon colon ratio of x to 5

1545=5x
Start Fraction 15 over 45 End Fraction equals Start Fraction 5 over x End Fraction

15x=455

1 answer

To express the cost of 5 gallons of gas in proportion to the cost of 15 gallons, we can use the following notation:

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

This means that the ratio of the gallons of gas to the cost is the same for both known and unknown values.

So, the correct representation of the proportion is: \[ \frac{15}{45} = \frac{x}{5} \]

This allows you to solve for \( x \), which represents the cost of 5 gallons of gas.