Adam's car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that the car traveled on each gallon of gas?
[tex]$16.5 x=465.3$[/tex]
[tex]$\frac{x}{16.5}=485.3$[/tex]
[tex]$465.3 x=16.5$[/tex]
[tex]$\frac{x}{465.3}=16.5$[/tex]
Answer (2)
Define x as the average number of miles per gallon.
Set up the equation: (number of gallons) × (miles per gallon) = total miles traveled.
The equation is 16.5 x = 465.3 .
The equation to find the average number of miles per gallon is 16.5 x = 465.3 .
Explanation
Understanding the Problem We are given that Adam's car traveled 465.3 miles on 16.5 gallons of gas. We need to find the equation that can be used to determine the average number of miles the car traveled on each gallon of gas. Let x be the average number of miles the car traveled on each gallon of gas.
Setting up the Equation The total miles traveled is equal to the number of gallons of gas used multiplied by the average number of miles per gallon. Therefore, we can write the equation as: 16.5 × x = 465.3
Finding the Equation The equation that can be used to determine the average number of miles that the car traveled on each gallon of gas is: 16.5 x = 465.3
Examples
Understanding miles per gallon (MPG) is crucial for budgeting travel expenses. For instance, if you're planning a road trip and know your car gets a certain MPG, you can estimate how much you'll spend on gas. Knowing that Adam's car equation is 16.5 x = 465.3 , we can solve for x to find the MPG. This calculation helps in making informed decisions about travel routes and costs, ensuring you stay within your budget and optimize fuel consumption.
The equation to determine the average number of miles Adam's car traveled per gallon of gas is 16.5 x = 465.3 . This relationship signifies that the total distance is the product of the gallons of gas and the average miles per gallon. To find the average miles per gallon, you can solve for x .
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