Mrs. williams is deciding between two field trips for her class. the science center charges $80 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? fewer than 40 students 78 or fewer students 78 or more students more than 40 students

Let's say x students are going.

The Science Center charges $80 plus $5 per student.
The cost is: 5x + 80

The Dino Discovery Museum simply charges $7 per student.
The cost is: 7x

You want the Science Center cost to be less than the other cost, so you write this inequality.

5x + 80 < 7x

Now solve for x

-2x < -80

x < 40

The Science Center costs less for fewer than 40 students.