Question

Mrs. Williams is deciding between two field trips for her class. The Science Center charges $120 plus $5 per student. The Dino Discovery Museum simply charges $7 per student. For how many students will the Science Center charge less than the Dino Discovery Museum charges?

Answer 1

The Science Center charge less than the Dino Discovery museum for more then 10 students

Explanation:

Let us assume that the number of students are x .

Let us assume that the total charge for x students be y.

As given

Mrs. Williams is deciding between two field trips for her class.

The Science Center charges $120 plus $5 per student.

Than the equations becomes

y = 120 + 5x

The Dino Discovery Museum simply charges $7 per student.

y = 7x

Than

`120 + 5x < 7x`

`120 < 7x - 5x`

`120 < 2x`

`(120)/(12) < x`

`10 < x`

Therefore the Science Center charge less than the Dino Discovery museum for more then 10 students.