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
Let x represent the additional profit you make.
The revised inequality is:
x - 300 ≤ 600
Solving for x:
x ≤ 600 + 300
x ≤ 900
Therefore, the revised spending limit is x ≤ 900.
To revise the inequality to reflect the new spending limit, we need to add the additional $300 to the original inequality.
Let's assume the original spending limit was represented by the variable x.
So, the revised inequality would be:
x + 300 ≤ 600
To solve this inequality, we can subtract 300 from both sides:
x ≤ 600 - 300
x ≤ 300
Therefore, the revised spending limit is x ≤ 300.
To revise the inequality from part a, which states that your spending limit is less than or equal to $600, we need to add the $300 that your parents are giving you. This means that the new inequality representing your spending limit is:
Spending Limit ≤ $600 + $300
Simplifying this, we have:
Spending Limit ≤ $900
Now let's solve this inequality. The solution is all values that are less than or equal to $900, including whole numbers and fractions:
Spending Limit ≤ $900
Therefore, the solution to the revised inequality is:
Spending Limit ≤ $900