A history teacher rented a bus for a class trip to the museum. The company charges $375 plus $.35 for each mile traveled over 150 miles. If the bus trip costs $424, how many miles was the trip?
375 + .35(x-150) = 424
Solve for x.
290 miles
To find the number of miles traveled on the class trip, we can set up an equation based on the given information.
Let's denote the number of miles traveled as 'x'. According to the problem, the bus company charges $375 plus $0.35 for each mile traveled over 150 miles.
Since we are given that the total cost of the trip is $424, we can set up the equation:
375 + 0.35(x - 150) = 424
To solve for 'x', we first need to simplify the equation:
0.35(x - 150) = 424 - 375
0.35(x - 150) = 49
Next, we can divide both sides of the equation by 0.35 to isolate 'x':
(x - 150) = 49 / 0.35
(x - 150) = 140
Finally, we can solve for 'x' by adding 150 to both sides:
x = 150 + 140
x = 290
Therefore, the class trip to the museum covered a distance of 290 miles.