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

The inequality that represents the time constraint is:

2.5x ≤ 200

To represent the time constraint, we need to determine the maximum number of cakes you can make given the available time.

Since each cake takes 2.5 hours to make, the maximum number of cakes you can make is given by the total available time divided by the time it takes to make each cake.

Let's use x as the variable representing the total number of cakes you can make.

The inequality that represents the time constraint is:

2.5x ≤ 200