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

More than 40 students

Step-by-step explanation:

Let x be the number of students .

Given : Mrs. Williams is deciding between two field trips for her class. The Science Center charges $80 plus $5 per student.

i.e. Total cost :          (1)

The Dino Discovery Museum simply charges $7 per student.

i.e. Total cost :              (2)

The inequality that shows Science Center charge less than the Dino Discovery Museum charges will be :-

Subtract 5x on both sides , we get

Divide both sides by 2 , we get

Hence, for more than 40 students the Science Center charge will less than the Dino Discovery Museum charges.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0