Question

The local radio station is giving away some tickets to the circus. Adult tickets cost the station $8 each while children’s tickets cost $6. The station wants to spend no more than $172. Let x = the number of adult tickets and y = the number of children’s tickets. Show all possible solutions by graphing a linear inequality.

Answer 1

Let

x------> the number of adult tickets

y-----> the number of children’s tickets

we know that

$8x+6y \leq 172$ ------> linear inequality that represent  the situation

using a graphing tool

see the attached figure

The solution is the shaded area in the triangular region

therefore

The answer in the attached figure

Answer 2

I believe the answer that you are looking for , The Answer is :  B