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)

Question

Responses

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

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

15x=455

Answer 1

To express a proportion showing how much 5 gallons of gas will cost using fractional notation, you can set up the proportion based on the quantities given:

The cost per gallon is represented by the ratio of the total gallons to the total cost. If 15 gallons of gas costs $45, we can write the proportion as follows:

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

So, the correct response is:

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

This proportion can be used to solve for \(x\), which represents the cost of 5 gallons of gas.