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.

Now that you have an additional $300, revise your inequality from part a to reflect your new spending limit. Solve this inequality.

1 answer

The original inequality from part a was 600 < x, where x represents the additional profit. If we revise this to reflect the new spending limit with the additional $300 from the parents, the inequality becomes:
600 + 300 < x

Simplifying this inequality, we get:
900 < x

So, the revised inequality is x > 900.

To solve this inequality, we can say that the additional profit must be greater than $900 in order to trigger the condition of giving 10% of earnings above $600 to the parents.