Let's revise the inequality from part a to reflect the new spending limit:
Let x represent the additional profit made above $600.
The updated inequality becomes x ≤ 300.
This means that the additional profit made should be less than or equal to $300 in order to avoid owing 10% to your parents.
Now let's solve the new inequality:
x ≤ 300
Since x represents the additional profit made, we subtract $600 from x to find the amount above $600:
x - 600 ≤ 300
Next, we can add 600 to both sides of the inequality to isolate x:
x ≤ 300 + 600
x ≤ 900
Therefore, the solution to the inequality is x ≤ 900. This means that the additional profit made should be less than or equal to $900 in order to avoid owing 10% to your parents.
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.
5 answers
Now that you have an additional $300, revise your inequality from part a to reflect your new spending limit. Solve this inequality.
Apologies for the confusion. Let's revise the inequality to reflect the new spending limit.
Let x represent the additional profit made above $600.
The revised inequality becomes x ≤ 300.
This means that the additional profit made should be less than or equal to $300 in order to avoid owing 10% to your parents.
Now let's solve the new inequality:
x ≤ 300
This inequality states that the additional profit made should be less than or equal to $300. Since we already have an additional $300, we have reached the spending limit.
Therefore, the solution to the inequality is x ≤ 300, which means that the additional profit made should be less than or equal to $300 in order to avoid owing 10% to your parents.
Let x represent the additional profit made above $600.
The revised inequality becomes x ≤ 300.
This means that the additional profit made should be less than or equal to $300 in order to avoid owing 10% to your parents.
Now let's solve the new inequality:
x ≤ 300
This inequality states that the additional profit made should be less than or equal to $300. Since we already have an additional $300, we have reached the spending limit.
Therefore, the solution to the inequality is x ≤ 300, which means that the additional profit made should be less than or equal to $300 in order to avoid owing 10% to your parents.
Choose the graph of the solution to part f above
Since the inequality in part f is x ≤ 300, where x represents the additional profit made, the graph of the solution will be a horizontal line at y = 300. This is because any value less than or equal to 300 is a solution to the inequality.