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 1545=5x Start Fraction 15 over 45 End Fraction equals Start Fraction 5 over x End Fraction 15:45::x:5 ratio of 15 to 45 colon colon ratio of x to 5 15x=455

1 answer

To set up a proportion that shows how much 5 gallons of gas will cost, we can use the information that 15 gallons of gas costs $45.

The proportion can be set up as follows:

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

Where:

  • \(15\) represents the gallons of gas you bought,
  • \(45\) is the cost in dollars,
  • \(x\) is the unknown cost for \(5\) gallons,
  • \(5\) is the number of gallons.

Thus, the correct response is:

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