Now that you have an additional $300, revise your inequality from part a to reflect your new spending limit. Solve this inequality.
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.
To revise the inequality, we need to add the $300 to the spending limit. Let's assume the original spending limit is represented by the variable "L".
The revised inequality with the new spending limit would be L + $300 ≤ Current Budget.
To solve the inequality, you need to know the current budget. Let's assume the current budget is represented by the variable "B".
So, the revised inequality would be L + $300 ≤ B.
To solve for L, subtract $300 from both sides of the inequality:
L ≤ B - $300.
Now you have the revised inequality with the new spending limit, and L represents the maximum amount you can spend.
To revise the inequality to reflect your new spending limit, you need to subtract the additional $300 from the previous spending limit. Let's assume the previous spending limit was represented by the variable 'x'. The revised inequality would be:
x - 300 ≤ your current budget.
Now, in order to solve this inequality, you need to determine the value of 'x' that satisfies the inequality and satisfies your current budget. Here's a step-by-step guide on how to solve the inequality:
1. Start with the revised inequality: x - 300 ≤ your current budget.
2. Add 300 to both sides of the inequality: x ≤ your current budget + 300.
3. Substitute the value of your current budget into the inequality.
4. Simplify the inequality if possible.
For example, let's say your current budget is $800. Substituting this value into the inequality gives:
x ≤ 800 + 300.
Simplifying further:
x ≤ 1100.
Therefore, the solution to the inequality is x ≤ 1100, where 'x' represents the spending limit considering the additional $300.
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?