133k views
3 votes
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

User Udi
by
8.3k points

1 Answer

1 vote
Answer:
x + y ≤ 12
15x + 24y ≥ 240

Step-by-step 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 :)

User Salgiza
by
8.2k points