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=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
Start Fraction 15 over x End Fraction equals Start Fraction 45 over 5 End Fraction
Start Fraction 15 over 45 End Fraction equals Start Fraction 5 over x End Fraction
Start Fraction 15 over 45 End Fraction equals Start Fraction 5 over x End Fraction. Or, in simpler terms, "15 gallons over $45 equals 5 gallons over x." Just think of it as a "gas equation!"
Start Fraction 15 over 45 End Fraction equals Start Fraction 5 over x End Fraction
The correct answer is: Start Fraction 15 over 45 End Fraction equals Start Fraction 5 over x End Fraction
To set up the proportion, you need to understand that the cost of gas is directly proportional to the number of gallons. In this case, we can assume that the cost per gallon remains constant.
First, write the known values in the proportion: 15 gallons of gas at a cost of $45.
Next, set up the proportion by placing the known values on one side and the unknown values on the other side. In this case, since we want to find the cost of 5 gallons of gas (represented by x), we place 15 over 45 on one side and 5 over x on the other side.
Finally, simplify the proportion if needed. In this case, the proportion is already simplified, so you can leave it as Start Fraction 15 over 45 End Fraction equals Start Fraction 5 over x End Fraction.