Q:

a hairstylist can serve a maximum of 12 customers each day he works. he charges $15 for a child haircut and $24 for an adult haircut. the hair stylist would like to earn a minimum of $240 each day. if x represents children haircuts and y represents adults write as any inequalities as possible

Accepted Solution

A:
Answer:
x + y ≤ 12 
15x + 24y ≥ 240

Explanation:
The number of children is represented by x and the number of adults is represented by y.

We are given that:
1- The hairstylist can serve a maximum of 12. This means that the summation of x and y should not exceed 12. Therefore:
x + y ≤ 12

2-  The cost per child (x) haircut is $15 and that the cost per adult (y) is $24.
We are also given that the hairstylist would like to earn a minimum of $240.
This means that the earnings could be more than $240. Therefore:
15x + 24y ≥ 240

Since we are not given any further information, therefore, the maximum number of inequalities that can be formed is two.

Hope this helps :)