You will 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 will cost? Use x to represent the unknown cost.
Let's assume that the cost of 5 gallons of gas is represented by x dollars.
We can set up a proportion using the given information:
15 gallons / $45 = 5 gallons / x
This proportion states that the ratio of gallons to cost is the same for both situations.
To find the unknown cost, x, we cross-multiply and solve the equation:
15 * x = 5 * $45
15x = $225
Dividing both sides of the equation by 15:
x = $225 / 15
x = $15
Therefore, the cost of 5 gallons of gas is $15.
To write a proportion that shows how much 5 gallons will cost, we can use the given information. Let's assume that the cost is directly proportional to the number of gallons of gas.
We can set up the proportion as follows:
15 gallons corresponds to $45
5 gallons corresponds to x dollars
Using the concept of proportions, we can write this as:
15/45 = 5/x
To simplify, we can divide both sides of the equation by 15:
(15/45) * (5) = x
5/3 = x
Thus, the proportion that shows how much 5 gallons will cost can be represented as:
5/3 = x.
To write a proportion, we need to compare two ratios that are equal. In this case, we can compare the ratio of the cost to the number of gallons.
We know that 15 gallons of gas cost $45. So, the ratio of cost to gallons is 45/15.
To find out how much 5 gallons will cost, we can set up a proportion by comparing this ratio with the unknown cost of 5 gallons (represented by x). This can be written as:
45/15 = x/5
Now, we can solve this proportion to find x.
First, cross-multiply:
15 * x = 45 * 5
Then, simplify:
15x = 225
Finally, solve for x by dividing both sides of the equation by 15:
x = 225/15
So, the cost of 5 gallons will be $15.