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
Let the cost of 5 gallons of gas be x.
The proportion can be written as:
15 gallons / $45 = 5 gallons / x
To write a proportion that shows how much 5 gallons of gas will cost, we can use the given information that filling the car with 15 gallons of gas costs $45.
Let's denote the unknown cost of 5 gallons of gas as x.
The proportion can be set up as follows:
15 gallons / $45 = 5 gallons / x
In fractional notation, this proportion can be written as:
(15/45) = (5/x)
Simplifying the fraction on the left side, we have:
(1/3) = (5/x)
To find the value of x, we can cross multiply:
1x = 3 * 5
Simplifying the right side, we get:
x = 15
Therefore, 5 gallons of gas will cost $15.
To write a proportion showing how much 5 gallons of gas will cost, we need to use the given information.
The cost of filling the car with 15 gallons of gas is $45.
Let's use the variable x to represent the unknown cost of 5 gallons of gas.
The proportion can be written as:
(15 gallons) / ($45) = (5 gallons) / (x)
We can simplify this proportion further if needed.