Question

Harper wants to have a paintball party for his birthday with a few friends, but he can spend no more than $150. The paintball destination charges a flat fee of $55 for a private party and $12.50 per person for supplies. Graph the solution of the inequality from part (a)

Answer 1

Let x be the number of people invited to the party; then, the inequality is

`55+12.5t\le150`

Solving for t,

`\begin{gathered} \Rightarrow12.5t\le95 \\ \Rightarrow t\le7.6 \end{gathered}`

This is the solution to the inequality (despite the fact that Harper cannot invite more than 7 people). Then, the graph of the solution of the inequality is

The point has to be on the 7.6 mark (not a hollow point), and the arrow points towards the negative direction.