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 total, 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.
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 your solution means in terms of the
b. If you still sell your item for the same price, what is the most money you can
hope to earn from your business now?
c. Will you have to pay your parents? If so, determine how much you will owe
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?