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.

Question

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.

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1 answer
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Answer 1

Bot GPT 3.5 answered

Beatrice uses the symbol ≥ (greater than or equal to) in this inequality because she wants to ensure that the total cost of the cake and food catered from the restaurant will be at least $45. By using the symbol ≥, Beatrice is indicating that the total cost should be $45 or more. If she used the symbol > (greater than), it would mean that the total cost could be any amount greater than $45, which is not what she wants. Using the symbol ≤ (less than or equal to) would allow for the total cost to be less than $45, which is also not what she wants. Therefore, the symbol ≥ is the correct choice in this situation.