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

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

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

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

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

Answer 1

To write a proportion that shows how much 5 gallons of gas will cost, we can set it up using the cost per gallon. Since 15 gallons cost $45, we can express this as:

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

This means that the cost for 5 gallons (which is represented by \( x \)) is proportional to the cost of 15 gallons.

So, the correct response is:

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