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. Show both the set up of the proportion and the steps to solve. Include units with your answer.
What car have you chosen? What variables apply to that car? You are lacking information.
2009 Dodge Nitro, It gets 21 mph on the highway and 16 in town. I am having a hard time on setting up the equation. I know that x = miles driven on 60 gal of gas, and the milage on the Nitro
To solve this problem, we need to set up a proportion and then use algebra to solve for the unknown variable x.
Let's start by setting up the proportion:
The number of miles driven (x) is directly proportional to the number of gallons of gas (60).
In a proportion, the two ratios should be equal:
x miles / 60 gallons = ? miles / 1 gallon
Next, we cross-multiply:
1 gallon * x miles = 60 gallons * ? miles
Simplifying:
x miles = 60 ? miles
To find the value of x, we need to determine the value of ?.
To do that, we need some additional information about the car you have chosen. Specifically, we need to know how many miles it can travel on 1 gallon of gas.
Once we have that information, we can substitute it into the proportion and solve for x.
Let's say that the car you have chosen can travel 25 miles on 1 gallon of gas.
Now, we can substitute this value into our proportion:
x miles / 60 gallons = 25 miles / 1 gallon
Cross-multiplying again:
1 gallon * x miles = 60 gallons * 25 miles
Simplifying:
x miles = 1500 miles
So, the value of x, representing the number of miles driven on 60 gallons of gas for the chosen car, is 1500 miles.