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. Make sure to round to the nearest dollar.
* Do not include the dollar symbol in the inequality
Let x be the additional profit made.
The inequality can be revised as:
x - 300 ≤ 600
Simplifying the inequality:
x ≤ 600 + 300
x ≤ 900
Rounding to the nearest dollar, the solution is:
x ≤ $900
The inequality that reflects the new spending limit would be:
Income - Expenses ≤ $600 + $300
Let's solve this inequality step by step:
1. Simplify the expression:
Income - Expenses ≤ $900
2. Subtract the expenses from both sides of the inequality:
Income ≤ $900 + Expenses
Therefore, the revised inequality is: Income ≤ $900 + Expenses.
Please note that this inequality does not take into account the condition of owing 10% of earnings above $600 to your parents.
To revise the inequality to reflect the new spending limit, we need to consider the original inequality and add the additional $300. Let's denote the amount of additional profit as "x".
The original inequality based on the given information is:
x > 0
Now, considering the additional $300, the revised inequality becomes:
x + 300 > 0
To solve this inequality, we need to isolate "x" on one side of the equation.
First, let's subtract 300 from both sides of the inequality:
x + 300 - 300 > 0 - 300
Simplifying further, we have:
x > -300
Now, we have the revised inequality as:
x > -300
However, since profit cannot be negative, we can disregard the lower limit and consider the revised inequality as:
x > 0
Therefore, the solution to the revised inequality is:
x > 0
This means that you need to make more than $0 additional profit in order to trigger the agreement with your parents.