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.
* Do not include the dollar symbol in the inequality
You can copy and paste the inequality sign below in your answer.
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$600 + $300 ≤ Total profit + 10%(Total profit - $600)
The revised inequality is:
Additional profit - 300 ≤ 600
To solve this inequality, we can perform the following steps:
1. Add 300 to both sides of the inequality:
Additional profit ≤ 600 + 300
2. Simplify the right side of the inequality:
Additional profit ≤ 900
Therefore, the solution to the inequality is:
Additional profit ≤ 900
To revise the inequality to reflect the new spending limit, we need to consider the additional $300 that your parents want to give you.
Let's assume the variable x represents the additional profit you make.
The original inequality was:
x > 600
To incorporate the additional $300 your parents want to give you, we need to subtract that amount from the inequality:
x > 600 - 300
Simplifying, we have:
x > 300
So the revised inequality, reflecting the new spending limit, is:
x > 300
This means that your additional profit x must exceed $300 in order to trigger the condition where you owe your parents 10% of your earnings above $600.