A car rental company charges $280 per week plus $0.18 per mile to rent a car. How many miles can you travel in one week for $433?
A) Write an equation you can use to answer this question. Be sure all the numbers given above appear in your equation. Use x as your variable.
B) . solve the equation
write the equation as 280 + .18x = 433.
A) To answer this question, we need to write an equation that represents the total cost of renting a car for one week and traveling a certain number of miles.
Let's break down the costs:
- The car rental company charges $280 per week, which is a fixed cost.
- The car rental company charges $0.18 per mile, which is a variable cost.
To express this in terms of an equation, we can write:
Total Cost = Weekly Rental Cost + Mileage Cost
In this equation, the weekly rental cost is $280 and the mileage cost is given by the formula: Mileage Cost = $0.18 * Number of Miles.
Let's use x as the variable to represent the number of miles you can travel. Therefore, the equation becomes:
Total Cost = $280 + $0.18x
B) Now, let's solve the equation to find the number of miles you can travel in one week for $433.
Total Cost = $433, so we substitute this value into the equation:
$433 = $280 + $0.18x
To solve for x, we need to isolate the variable on one side of the equation. Begin by subtracting $280 from both sides:
$433 - $280 = $280 - $280 + $0.18x
$153 = $0.18x
Next, divide both sides of the equation by $0.18 to solve for x:
$153 / $0.18 = x
850 = x
Therefore, you can travel 850 miles in one week for $433.