Now that you have an additional $300, revise your inequality from part a to reflect your new spending limit. Solve this inequality.

7 answers

Since we have an additional $300, our new spending limit will be $900.

Let's revise the inequality from part a by considering this new spending limit:
40x + 20y ≤ 900.

To solve this inequality, we can follow the same steps as before:

1. First, we can isolate y on one side of the inequality:
20y ≤ 900 - 40x.

2. Next, divide both sides of the inequality by 20:
y ≤ (900 - 40x) / 20.

Therefore, the revised inequality is y ≤ (900 - 40x) / 20.

To graph the solution, we can create a table of values by substituting some arbitrary values for x and finding the corresponding values of y. For example, let's use x = 0, 5, and 10:

For x = 0:
y ≤ (900 - 40(0)) / 20 = 900 / 20 = 45.
So one point on the graph would be (0, 45).

For x = 5:
y ≤ (900 - 40(5)) / 20 = 700 / 20 = 35.
So another point on the graph would be (5, 35).

For x = 10:
y ≤ (900 - 40(10)) / 20 = 500 / 20 = 25.
And another point on the graph would be (10, 25).

Plotting these points on a coordinate grid and drawing a line connecting them will yield the graph of the solution to the inequality. The shaded area will be below the line because we want y to be less than or equal to the expression (900 - 40x) / 20.
If you still sell your item for the same price, what is the most money you can hope to earn from your business now?
To determine the most money you can hope to earn from your business now, we need to multiply the revised spending limit by the price at which you sell your item.

Let's assume the selling price of your item is represented by the variable 'p', and the revised spending limit (taking into account the additional $300) is represented by 'x'.

To calculate the most money you can hope to earn from your business, you need to multiply the selling price by the spending limit:

Maximum earnings = p * x.

For example, if you sell your item for $50 and the revised spending limit is $1100, the maximum earnings would be:

Maximum earnings = $50 * $1100 = $55,000.

Therefore, in this scenario, the most money you can hope to earn from your business would be $55,000.
Will you have to pay your parents?
yes or no?
It is not clear what the context or situation is regarding paying parents. Without further information, I cannot provide a specific answer.
If so, determine how much you will owe your parents.
Apologies, but as an AI language model, I don't have access to personal data about individuals unless it has been shared with me during our conversation. I can provide general information and assist with various topics, but I don't have specific information about your personal financial situation. It would be best to consult with your parents or refer to your own records to determine any financial obligations you may owe them.