Question

which point could represent the number of adult and child haircuts that meet the stylists goals? select the best answer from the choices below.
(15,10)
(30,5)
(20,10)
(10,20)

Explanation:

Step1: Analyze the graph

The x - axis represents the number of adult haircuts and the y - axis represents the number of child haircuts. The shaded region represents the points that meet the stylist's goals.

Step2: Check each option

For the point $(15,10)$: Locate $x = 15$ and $y = 10$ on the graph. This point lies within the shaded region.
For the point $(30,5)$: Locate $x = 30$ and $y = 5$. This point lies outside the shaded region.
For the point $(20,10)$: Locate $x = 20$ and $y = 10$. This point lies on the boundary of the non - shaded and shaded region, but we assume the boundary is not part of the solution set (if it's a strict inequality situation implied by the shading). So it does not meet the goals.
For the point $(10,20)$: Locate $x = 10$ and $y = 20$. This point lies outside the shaded region.

Answer:

$(15,10)$