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)

Question

Create a digital representation of a math problem scenario that ties into the concept of proportions. Do not include any text in the image itself. Show a small, generic car that has just been filled up at a gas station. Include a gas pump displaying a price tag of $45 next to a gallon indication of 15 gallons. Next, illustrate a smaller gallon container, equivalent to 5 gallons, with an empty price tag symbolizing the unknown cost. Keep the illustration simple and intuitive to convey the scenario effectively.

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)

Answer 1

To write a proportion, we need to compare two ratios. The given information tells us that 15 gallons of gas cost $45. So, the first ratio is 15 gallons : $45.

Let's set up the proportion with the unknown cost, x, for 5 gallons:

15 gallons / $45 = 5 gallons / x

This can be simplified further if needed.

Answer 2

To write a proportion that shows how much 5 gallons of gas will cost, we need to establish a relationship between the amount of gas and its cost.

Let's begin by determining the cost per gallon of gas using the given information:

Cost of 15 gallons = $45

Cost per gallon = $45 / 15 gallons

Once we have determined the cost per gallon, we can now create a proportion to find the cost of 5 gallons:

Cost per gallon = $45 / 15 gallons

Let x represent the cost of 5 gallons of gas.

So, the proportion can be written as:

Cost per gallon = x / 5 gallons

Using fractional notation, the proportion is:

(Cost per gallon) / (1 gallon) = (x) / (5 gallons)

Therefore, the proportion is:

45/15 = x/5 or, in fractional notation, 45/15 = x/5

Answer 3

Well, let's do some math! If 15 gallons of gas costs $45, we can set up the proportion:

15 gallons / $45 = 5 gallons / x

To find the unknown cost, x, we cross-multiply:

15x = 5 * $45

Simplifying further:

15x = $225

Now, to find the value of x, we divide both sides of the equation by 15:

x = $225 / 15

So, 5 gallons of gas will cost $15. And if you're wondering, no, I didn't just clown around with the calculations!

Answer 4

The proportion would be:

15 gallons / $45 = 5 gallons / x

Using cross multiplication, we can solve for x:

15x = 225

x = 225/15

x = 15

Therefore, 5 gallons of gas would cost $15.