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.
f)
Now that you have an additional $300, revise your inequality from part a to reflect your new spending limit. Solve this inequality. Make sure to round to the nearest dollar.
* Do not include the dollar symbol in the inequality
You can copy and paste the inequality sign below in your answer.
≥ < > ≤
≥
The revised inequality to reflect the new spending limit would be:
Profit >= $600 + $300
This can be simplified to:
Profit ≥ $900
Therefore, the revised inequality is:
Profit ≥ 900
To revise the inequality to reflect the new spending limit, we need to add the $300 to the inequality from part a:
Original inequality: Profit ≥ $600
Revised inequality: Profit + $300 ≥ $600 + $300
Simplifying the inequality:
Profit + $300 ≥ $900
Now, to solve this inequality, we need to isolate the profit variable, so we subtract $300 from both sides of the inequality:
Profit + $300 - $300 ≥ $900 - $300
Profit ≥ $600
Therefore, the revised inequality is: Profit ≥ $600.