inequality and field trip

Mrs. william is deciding between two field tips for her class. the science center charges $135 plus $3 per student. the dino discovery museum simply charges $6 per student. for how many students will the science center charge less than the dino discovery museum?

Let x be the number of student going to the field trio.

Cost = fixed cost + variable cost

Cost for the science center

Fixed cost = 135

Variable cost = 3 × x

Cost = 135 + 3x

Cost for the dino discovery

Fixed cost = 0

Variable cost = 6x

The science center will charge less than the dino center if

135 + 3x < 6x

135 + 3x - 3x < 6x - 3x

135 + 0 < 3x

135 < 3x

Divide both sides by 3

135 / 3 < 3x / 3

45 < x

x > 45

The science center will charge less than the dino center if the number of students going is bigger than 45

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Basic math word problem.

Recent Articles

  1. 100 Hard Word Problems in Algebra

    Sep 11, 17 05:06 PM

    Easy to follow solution to 100 hard word problems in algebra

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

            Follow me on Pinterest

Page copy protected against web site content infringement by Copyscape