\( \mathbf{8 \& 9 ) \text { Mrs. Korth is the AVID site coordinator responsible for planning the End of Year }} \) Celebration. Plans include hiring a catering service and firework display. She wants to keep the ticket price as low as possible while still covering the cost of the food and the show. 8) a) Firework Company A charges \( \$ 375 \) for a show. Firework Company B charges \( \$ 225 \) plus \( \$ 10 \) per firework lit. Write a system of equations to represent the costs of the two companies. \( A(x)= \) \( B(x)= \)

To represent the costs incurred from both firework companies, we can create a system of equations based on the information provided. For Firework Company A, which has a flat fee, the equation will simply be: \( A(x) = 375 \) For Firework Company B, which charges a base fee plus a variable cost depending on how many fireworks are lit, the equation becomes: \( B(x) = 225 + 10x \) Here, \( x \) represents the number of fireworks lit by Company B. You now have the system of equations that allow you to compare costs between the two companies! And remember, when planning an event, balancing your budget with memorable experiences is key to ensuring a great time for everyone!