Question

Gabby is apart of a dance studio after school, and they are having a recital to try to raise money for new costumes. Here are some of the requirements Gabby has come up with to make sure their recital is a success! The auditorium they're performing in can hold no more than 200 people. Gabby wants to make at least $3000 for new costumes. Adult tickets (x) are going to be sold for $100 per adult and children tickets (y) are going to be sold for $25 per child. Select two linear inequalities to represent Gabby' s situation. x+y\le200x+y≤200 100x+25y\ge3000100x+25y≥3000 x+y\ge200x+y≥200 x+y>200x+y>200 x+y<200x+y<200 100x+25y>3000100x+25y>3000 100x+25y<3000100x+25y<3000 100x+25y\le3000100x+25y≤3000

Answer 1

Answer:

The two linear inequalities =

x + y ≤ 200

100x + 25y ≥ 3000

Step-by-step explanation:

The auditorium they're performing in can hold no more than 200 people.

This means the number of tickets that would be sold would be less than or equal to 200 people

The tickets are represented as:

Adult tickets = x

Children tickets = y

Hence

Inequality equation 1

= x + y ≤ 200

Gabby wants to make at least $3000 for new costumes.

These means greater than or equal to $3000

Adult tickets (x) are going to be sold for $100 per adult and children tickets (y) are going to be sold for $25 per child.

Inequality equation 2

= $100 × x + $25 × y ≥ $3000

= 100x + 25y ≥ 3000