Question

Your parents heard about the success of your business and they want to help you out. Suppose they want to give you an additional $300 to put toward your business. However, there's a catch. If you make more than $600 additional profit, you have to give them 10% of your earnings above $600. For example, if you have earned $650, then you owe 10% of $50, or $5, to your parents.

i)
You are trying to decide if it is worth the investment to make the cakes if it takes 2.5 hours to make each cake and you have 200 hours this summer to devote to creating your product. Write an inequality that represents your time constraint. *Use x as the variable

You can copy and paste the inequality sign below in your answer. ≥ < > ≤

2.5x ≤ 200

j)
Solve your inequality from part i

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality 2.5x ≤ 200, we divide both sides of the inequality by 2.5:

x ≤ 80

Therefore, you can make a maximum of 80 cakes within the 200 hours you have this summer.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the inequality 2.5x ≤ 200, we need to isolate the variable x.

Divide both sides of the inequality by 2.5:
(2.5x) / 2.5 ≤ 200 / 2.5

This simplifies to:
x ≤ 80

Therefore, the solution to the inequality is x ≤ 80.

Answer 3

[AI-generated answer — Explain Bot]

To solve the inequality 2.5x ≤ 200, we need to isolate the variable x.

First, we can divide both sides of the inequality by 2.5:
(2.5x) / 2.5 ≤ 200 / 2.5

This simplifies to:
x ≤ 80

So, the solution to the inequality 2.5x ≤ 200 is x ≤ 80.