Solving Inequalities Portfolio – Unit 4

Make sure you answer each part of each task. Label each answer with the letter that corresponds to it.

Task 1
You can pick any amount of money you want to invest, but keep it logical. I doubt if you have 1 million dollars, but at the same time, $2 is not going to be enough.

You do not have to actually make something. This is all hypothetical. Pick something you think would be interesting or neat to make. One item. Explain why you picked that item. You need to come up with an item, not a service, so no babysitting, lawn mowing, etc.

List the amount it will cost to make one of your items. Let’s say you are going to make cookies. I do not want the amount for flour, sugar, baking soda, etc. You can use those numbers, but you need to state the cost to make 1 cookie. Next you need to state the amount you will sell one of your items for. Example: my cost to make 1 cookie is 4 cents. I will sell one cookie for $1.50.
This question is a yes/no question, but you need to explain your response.

Task 2
Pick a variable to represent your item. I will use x. x = the number of cookies I will make. If my cost is $.04 per cookie, I need to write an inequality with my cost per cookie, my variable, and my total investment amount. Remember, you cannot go over your investment.

Solve your inequality from part a, and graph the solution on a number line. You must include the graph in your submission.
c.- e. Yes, you must complete.

Task 3

You will use the same inequality you created in Task 2a, only now you will add $300 to your investment amount. Solve and graph on a number line. Continue and answer parts b, and c. You do not need to answer d, e, and f.

You must show all work. Please put your answers on the following pages. You can type or hand write.
Answer sheet:
Task 1a: What is your investment amount? _______________________
Task 1b: What item are you going to make and sell? __________________
Why? _______________________________________________________________________
_____________________________________________________________________________
Task 1c: How much will it cost you to make just one of your item? ______________________
How much will you sell each item for (just the price for one of them)? ___________

Task 1 d: Do you think your business will be profitable? ________________
Explain your answer. __________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
Task 2 a: Cost per item (answer for 1c): ____________________
Investment amount (answer for 1a): _______________
Pick a variable: _______________
Now you need to create an inequality (<, >, ≤, or ≥) with these three terms. Think about the relationship between your cost and your investment amount. Can you spend more money making your items than what you are willing to invest?

What is your inequality: ____________________________________________________

Task 2 b: Solve your inequality here:

You need to graph it on a number line. I recommend you draw this on paper. You can then scan it or take a picture of your graph and upload it to your computer as a jpeg file. Please label it as Task 2b.

Task 2 c: What is your equation? ______________________________________

Task 2 d: What is the most money you can earn from your business? ___________________

Task 2 e: What was your total profit? ____________________
Did you make money or lose money? __________________
Would you adjust your business plan from Task 1? __________________
If so, how? ___________________________________________________________________________

Task 3 a: What is your revised inequality from Task 2 a? ____________________________
You need to graph it. Once again – hand drawn is great. Just label the picture as
Task 3a.

Task 3 b: If you sell your item for the same price, what is the most money you can earn now?
_________________________

Task 3 c: Will you have to pay your parents? _________________________
If so, how much will you owe them? _______________________

Task 3 d – f: you do not need to complete.

I need help with that one too

Task 1a: My investment amount is $500.

Task 1b: I am going to make and sell handmade jewelry. I chose this item because I enjoy creating unique and beautiful pieces of jewelry.

Task 1c: It will cost me $5 to make just one piece of jewelry. I will sell each piece for $25.

Task 1d: Yes, I think my business will be profitable. Jewelry is a popular item and I believe there is a market for unique handmade jewelry. Additionally, the cost to make each piece is relatively low compared to the selling price, allowing for potential profit.

Task 2a: Cost per item (answer for 1c): $5
Investment amount (answer for 1a): $500
Variable: x (number of pieces of jewelry)

Inequality: 5x ≤ 500

Task 2b: Solving the inequality:
5x ≤ 500
x ≤ 100

Task 2c: The equation is: x ≤ 100

Task 2d: The most money I can earn from my business is 100 x $25 = $2500.

Task 2e: Total profit = Revenue - Cost
Total profit = (100 x $25) - ($500) = $2500 - $500 = $2000
I made a profit of $2000.

Task 2f: I would not adjust my business plan as the profit seems satisfactory.

Task 3a: The revised inequality from Task 2a is: 5x + 300 ≤ 500

Task 3b: If I sell my item for the same price, the most money I can earn now is 100 x $25 = $2500.

Task 3c: I will not have to pay my parents.

Task 3d - f: N/A

Ok guys calm down I know we’re getting to the end of the semester but for this portfolio all you have to do I follow the steps and do what it tells you and you will get it done easily you got this so calm down ok 👌🏽 ☺️😊😊!!!!!!!!!!!

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Task 1a: To answer this question, you need to decide on an investment amount. It should be a logical amount that is neither too small nor too large. You can consider factors like your personal budget or the amount you are willing to risk. Write your investment amount in the blank provided.

Task 1b: Decide on an item that you would like to make and sell. It should be something that interests you or that you think would be neat to create. Explain why you picked that item in the space provided.

Task 1c: Calculate the cost to make just one of your chosen item. This should include any materials or ingredients required. Write the cost in the blank provided. Next, determine the price at which you will sell each item. This should be the price for just one of the items. Write this price in the blank provided.

Task 1d: Based on your cost to make the item and the price at which you will sell it, consider whether you think your business will be profitable. Write your answer (yes or no) in the blank provided. Explain your answer by considering factors such as the difference between the cost and the selling price, potential demand for the item, and any additional expenses or considerations.

Task 2a: Choose a variable, such as x, to represent the number of items you will make. Use this variable to create an inequality that relates your cost per item, the variable, and your total investment amount. Remember that your cost per item multiplied by the number of items should not exceed your investment amount. Write your inequality in the blank provided.

Task 2b: Solve your inequality by isolating the variable and graph the solution on a number line. Show your work and include the graph in your submission. You can draw the graph on paper and then scan it or take a picture of it to upload as a jpeg file, labeled as Task 2b.

Task 2c: Write down your inequality in equation form. This means writing it with an equals sign instead of an inequality sign.

Task 2d: Determine the maximum amount of money you can earn from your business. This can be calculated by multiplying the selling price per item by the number of items made. Write the maximum amount in the blank provided.

Task 2e: Calculate your total profit by subtracting your investment amount from the maximum amount you can earn. Determine whether you made money or lost money based on this calculation. Write your total profit and whether you made money or lost money in the blanks provided. Consider whether you would adjust your business plan from Task 1 based on this outcome, and if so, explain how you would adjust it.

Task 3a: Use the same inequality as in Task 2a, but now add $300 to your investment amount. Rewrite your revised inequality in the blank provided and graph it on a number line. Again, hand-drawn graphs are acceptable, but remember to label the picture as Task 3a.

Task 3b: Assuming you are still selling your item for the same price as before, calculate the maximum amount of money you can earn now. This can be found by multiplying the selling price per item by the number of items made. Write the maximum amount in the blank provided.

Task 3c: Determine whether you will have to pay your parents and, if so, calculate the amount you will owe them based on your revised inequality. Write your answer in the blanks provided.

Task 3d-f: You are not required to complete these tasks.

Bro no one is gonna do a whole portfolio for you, its not hard if you think about it. Its the easiest portfolio we have had in math this year. Most of the questions require you to make numbers up then put it together, then you need to make an inequality question and that's the hardest thing in it but you can use a calculator and punch in the numbers and its solved and you have the problem. Im only here looking up the questions to find an example so i can base my answers off of that then use a different thing and numbers. Unless you use course hero you will not find a portfolio answer and even if you do alot of other kids have been to that site and have already used the same answer before you have and if you copy or restate you will be blamed for plagiarizing and cheating, best thing to do is ask your teacher for help or a family member that knows this and they will help you. If not then hope you get it right and dont cheat on portfolios because you will get caught.