Question

The school system is trying to help their students be more successful. They are going to hire tutors to help. They must have more teachers than tutors. The maximum number of teachers and tutors to be hired is 50. How many tutors and how many teachers can they hire? Let x = number of teachers hired. Let y = number of tutors hired. a. Write an inequality that represents the statement that the number of teachers hired must exceed the number of tutors hired. (2 points) b. Write an inequality that represents the statement that the maximum number of teachers and tutors is 50. (2 points) c. Choose a point that satisfies the situation, and explain why you chose that number of tutors and teachers. (1 point)

Answer 1

Answer:

a. $x-y > 0$

b. $x+y \leq 50$

c. x=26; y=24 or (24,26)

Step-by-step explanation:

Let x = number of teachers hired.

Let y = number of tutors hired.

Now solving for part a we get

a. Write an inequality that represents the statement that the number of teachers hired must exceed the number of tutors hired.

$x-y > 0$

solving for part b we get;

b. Write an inequality that represents the statement that the maximum number of teachers and tutors is 50.

$x+y \leq 50$

solving for part c we get;

c. Choose a point that satisfies the situation, and explain why you chose that number of tutors and teachers.

Now we know that $x-y > 0$ also $x+y \leq 50$

x=26; y=24

(24,26)

Explanation: To make number of teacher more than number of tutors this is the maximum value we can achieve for the requirement.