Question

Mrs. Williams is deciding between two field trips for her class. The Science Center charges $10 plus $1.5 per student. The Dino Discovery Museum simply charges $4 per student. For how many students will the Science Center charge less than the Dino Discovery Museum?

a) S + 4 < 10 + 1.5S
b) 10S + 4 < 1.5S
c) 10 + 1.5S < 4S
d) 10 + 1.5S < 4

Answer 1

The Science Center will charge less than the Dino Discovery Museum for more than 4 students, as found by solving the inequality 10 + 1.5S < 4S.

Step-by-step explanation:

To determine for how many students the Science Center will charge less than the Dino Discovery Museum, we need to set up an inequality. The total cost for the Science Center is given as $10 plus $1.5 per student, and the total cost for the Dino Discovery Museum is $4 per student. We'll use 'S' to represent the number of students.

Let's write down the inequality for the scenario:

10 + 1.5S < 4S

Now, to solve for 'S', we'll move all the terms with 'S' to one side and the constant terms to the other side.

Subtract 1.5S from both sides of the inequality:

10 < 2.5S

Now divide both sides by 2.5 to solve for 'S':

S > 4

This means that the Science Center will charge less than the Dino Discovery Museum for more than 4 students.