Question

During the school year, a bus driver made 7 trips to the museum. The distance from the school to the museum is 36 miles. Write and solve equations to find how many miles the bus driver drove for the 7 trips.

Answer 1

Given:

Number of trips = 7

Distance from the school to the museum = 36 miles.

To find:

Write and solve equations to find how many miles the bus driver drove for the 7 trips.

Solution:

Let x be the number of trips and y be the total number of miles the bus driver drove.

Distance from the school to the museum = 36 miles.

1 trip means from the school to the museum and then from the museum to the school.

Distance covered in 1 trip = 2×36 = 72 miles.

Distance covered in x trips = 72x miles.

$y=72x$

Substitute x=7 in the above equation to find the total distance the bus driver drove for the 7 trips.

$y=72(7)$

$y=504$

Therefore, the bus driver drove 504 miles for the 7 trips.