# MATH (PLZ HELP) !!

Task 1. You want to start a summer business to earn money. What will you do? You have to consider how much money you can afford to invest in this business how much it will cost you to make each item and how much you're going to charge for each item. Research something that would be reasonable to make and sell with the start up investment you have determined.

a. Write an inequality that represents the fact that while making your product you can't exceed this spending limit

b. Solve this inequality and graph solution on a number line. Explain what your solution means in terms of the situation.

c. In task 1. You determined how much you will charge for each item. Write an equation that represents your total earnings based on the price of your item and how many you sell.

e. Don't forget that at the beginning of the process you had to spend some of your own money to get started. With the costs taken into account, what was your total profit? Did you make money or lose money? Now that you have these values, would you adjust your business plan from task 1? If so, how?

a. Now that you have an additional \$300, revise your inequality from part A of task 2 to reflect your new spending limit. Solve this inequality and graph the solution on a number line. Explain what you solution means in terms of the situation.

b. If you still sell your item for the same price, what is the most money you can hope to make from your business now?

c. Will you have to pay your parents? If so, determine how much you will owe them.

d. Think about how much time it will take you to create your product. You have 200 hours this summer to devote to creating your product. Write an inequality that represents your time constraint.

e. Solve your inequality from part D and graph your solution on a number line. Explain what your solution means in terms of the situation.

f. With the costs taken into account, what was your total profit? Did you make or lose money? Now that you have these values, would you adjust your business plan from task 1?if so, how?

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