Question

3. The lacrosse team is raising money by selling cheesecakes. The players plan to sell an entire cheesecake for $24.00 each and slices of cheesecake for $3.50 each. If they want to raise at least $700, how many of each could they sell?
Part A: List three possible combinations of entire cheesecakes and slices of cheesecake the players could sell to reach their goal of raising at least $700.

Part B: Write an inequality to represent the situation.

Part C: Graph the inequality and shade where the solutions are. y X

Part D: What is the difference in the amount of money raised for ordered pairs falling on the line and the ones that fall in the shaded area?

Part E: What do the x- and y-intercepts represent?​

Answer 1

To reach a raise of $ 700, you can sell 20 entire cheesecakes and 63 slices, or 10 entire cheesecakes and 132 slices, or 15 entire cheesecakes and 98 slices.

To determine, if they want to raise at least $ 700, how many of each could they sell, listing three possible combinations of entire cheesecakes and slices of cheesecake the players could sell to reach their goal, the following calculation must be performed:

• C + S = 700
• 24 x 20 = 480
• 700 - 480 = 220 / 3.5 = 62.85
• 24 x 10 = 240
• 700 - 240 = 460 / 3.5 = 131.42
• 24 x 15 = 360
• 700 - 360 = 340 / 3.5 = 97.14

Therefore, to reach a raise of $ 700, you can sell 20 entire cheesecakes and 63 slices, or 10 entire cheesecakes and 132 slices, or 15 entire cheesecakes and 98 slices.

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