Question

A hairstylist charges $15 for an adult haircut at nine dollars for a child haircut she wants to earn at least $360 and cut a maximum of 30 haircut this week. create a system of equations that models the solution

Answer 1

The hairstylist's earnings and haircut limit can be modeled with two equations: 15x + 9y ≥ 360 for the earnings requirement and x + y ≤ 30 for the maximum number of haircuts.

Step-by-step explanation:

To model the hairstylist's goal of earning at least $360 with a maximum of 30 haircuts in a week using a system of equations, we need two variables: Let x represent the number of adult haircuts at $15 each and y represent the number of child haircuts at $9 each.

The hairstylist's earnings can be represented by the equation: 15x + 9y ≥ 360.

The constraint on the number of haircuts can be represented by the equation: x + y ≤ 30.

Therefore, the system of equations is:

• 15x + 9y ≥ 360 (Earnings requirement)
• x + y ≤ 30 (Haircut limit)