A girl scout leader rented a bus for a trip to the museum. The bus company charged $275 plus $.35 for each mile traveled over 350 miles. If the bus trip cost $429, how many miles was the trip

Answer: The trip was 440 miles

Step-by-step explanation:

A girl scout leader rented a bus for a trip to the museum.

Let x represent the number of miles

traveled over 350 miles.

Let y represent the total cost of travelling x miles

The bus company charged $275 plus $.35 for each mile traveled over 350 miles. This means that for x miles, the cost will be

y = 275 + 0.35x

If the bus trip cost $429, it means that y = 429

To determine the number of miles, we will substitute y = 429 into the equation. It becomes

429 = 275 + 0.35x

0.35x = 429 - 275 = 154

x = 154/0.35 = 440

x = 440 miles