You fill your car with 15 gallons of gas at a cost of $45. Using fractional notation, how do you write q proportion that shows how much 5 gallons of gas will cost? To represent the unknown cost, use the letter x.
The proportion would be:
15 gallons / $45 = 5 gallons / x
You can also write it as:
15/45 = 5/x
To write a proportion that shows how much 5 gallons of gas will cost, we can use the given information:
15 gallons of gas costs $45.
Let's represent the cost of 5 gallons of gas as x.
So, the proportion can be written as:
15 gallons / $45 = 5 gallons / x
In fractional notation, it can be written as:
15/45 = 5/x
To write a proportion that shows how much 5 gallons of gas will cost, we need to find the relationship between the number of gallons and the cost.
Given that you filled your car with 15 gallons of gas at a cost of $45, we can set up a proportion using the concept of "unit rate."
We know that 15 gallons of gas cost $45, so we can write the first part of the proportion as:
15 gallons / $45
Now, to find the unit rate, we divide both sides of the equation by 15 to determine the cost of one gallon:
(15 gallons / $45) ÷ 15 = (1 gallon / $3)
So, the unit rate is $3 per gallon.
To find the cost of 5 gallons, we multiply the unit rate by 5:
5 gallons × ($3 per gallon) = $15
Therefore, the proportion that shows how much 5 gallons of gas will cost is:
5 gallons / $15
To represent the unknown cost, we can use the letter x, so the proportion becomes:
5 gallons / x
This is the requested proportion using fractional notation.