Question

Review 1

Beatrice is planning a birthday party for her sister. Beatrice plans to buy a cake that costs $45. She also wants to get food catered from her sister's favorite restaurant. The restaurant charges $13.25 per tray of food.
Beatrice writes the inequality 151 - 13.25t≥ 45 to represent this situation.
Part A: Explain why Beatrice uses the symbol > instead of <, >, or < in this inequality.
Part B: Solve the inequality, and state what the solution represents in this context.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Part A: Beatrice uses the symbol ≥ in the inequality because she wants to ensure that the total cost of the cake and catered food is at least $45. By using ≥, she is indicating that the total cost must be greater than or equal to $45.

Part B: To solve the inequality 151 - 13.25t ≥ 45, we first need to isolate t.
151 - 13.25t ≥ 45
106 ≥ 13.25t
t ≤ 8
The solution t ≤ 8 represents that Beatrice can order up to 8 trays of food from her sister's favorite restaurant while keeping the total cost of the cake and catered food at $45 or less.