Let x be the number of miles driven on 60 gallons of gas. By setting up and solving a proportion involving x, find the value of x for the car that you have chosen. State the type of car, the mileage, and show both the set up of the proportion and the steps to solve. Include units with your answer.
My dream car gets 21 MPG.
X= G/M
G= gallons of gas which is 60
M= miles per gallon 21
X = miles driven ??
The problem would look like this:
60/21= 2.857 or 3 mpg
If u continue to solve the problem you will see that:
3 mpg * 60 gallons of gas = 180 mpg per 60 gallons
I WOULD LIKE TO KNOW IF THIS IS CORRECT IF NOT PLEAS SHOW ME WHERE I WENT WRONG... THANK YOU
Your wording is quite wrong.
"180 mpg per 60 gallons". Nuts to that. it is 180miles per 60 gallons.
Secondly, I would never round up 2.857 to 3. Why would you do that?
Y would you not round?
No, I would not round that. Maybe to 2.9, but no further.
o ok thank you, so is everything else correct?
First, let's clarify the setup of the problem. In this case, we are given that a car gets 21 miles per gallon (MPG). We are asked to find the number of miles driven (x) using 60 gallons of gas.
To solve this problem using a proportion, we can set up the following equation:
x miles / 60 gallons = 21 miles / 1 gallon
The proportion is set up such that the ratio of miles to gallons for the unknown number of miles driven is equal to the known ratio of miles to gallons for the car.
To solve for x, we can cross-multiply and solve for x:
x miles = 60 gallons * 21 miles / 1 gallon
Cancel out the units "gallons" to get the final answer:
x = 60 * 21 miles
Calculating this, we get:
x = 1260 miles
Therefore, for the car in question, it can travel 1260 miles using 60 gallons of gas.
It's important to note that your calculation of 3 miles per gallon is incorrect. The correct calculation is:
x = 60 gallons * 21 miles / 1 gallon = 1260 miles
So, the correct answer is that the car can travel 1260 miles.