Question

respond to this, as if you were in the eighth grade: For my journal entry, I chose the problem of figuring out how many tickets we need to sell at different prices for our school play to reach our fundraising goal. I knew this could be solved with systems of linear equations for a few straightforward reasons. First off, the problem deals with two kinds of tickets, regular and VIP, each sold at different prices, which easily sets up two variables we can use in equations. Secondly, the goal of raising a certain amount of money is a clear target that we can aim for by adjusting the number of each ticket sold, making the problem have a direct solution through linear relationships. Finally, the problem requires balancing multiple factors, like not exceeding the total number of seats available while maximizing revenue, which is something linear equations are great at handling. These aspects made it clear that a system of linear equations was the right tool to tackle the problem.

Answer 1

Wow, I totally agree with your reasoning for using systems of linear equations to solve the problem of figuring out how many tickets we need to sell at different prices for our school play fundraising goal. It makes so much sense to use two variables for regular and VIP tickets since they are sold at different prices. And having a clear target goal to reach by adjusting the number of tickets sold is a great way to approach the problem. Plus, balancing multiple factors like seat availability and revenue maximization is something linear equations are perfect for handling. I think using systems of linear equations will definitely help us find the solution we need for our fundraising goal. Great choice for your journal entry!