I have this math portfolio and part of it I had to write a word problem and identifying the inequality in it.
My website allows each person to make at least 2 orders of a dozen scrunchies at a time. Every person that places an order pays a shipping fee of $2.00 each. 5 people had already placed separate orders of a dozen Scrunchies online. The money earned is used to invest in the business. Use S to represent the amount of money willing to invest in a business, after just 5 orders placed online.
would my quality match the word problem above yes or no?
S+24</ 5+2 and if not please give me some details on how I could or what I'm not understanding.
thank you for your time!
*S+24<= 5+2
I don't think so. On the left you have money, and on the right you have orders.
ok how would i need to write it?
im rlly stuck?
To determine if the inequality matches the word problem, let's break down and analyze the information provided in the word problem.
1. "My website allows each person to make at least 2 orders of a dozen scrunchies at a time."
This statement implies that each person would order a minimum of 2 dozen scrunchies. So, the number of scrunchies ordered in total by 5 people (5 orders) would be 5 * 2 = 10 dozen scrunchies.
2. "Every person that places an order pays a shipping fee of $2.00 each."
Since each person pays a shipping fee of $2.00 per order, the total shipping fees collected from the 5 orders would be 5 * $2.00 = $10.00.
3. "The money earned is used to invest in the business."
This statement implies that the total money earned is represented by the variable S.
Based on the given information, let's analyze the inequality S + 24 </ 5 + 2:
The left side of the inequality represents the amount of money willing to invest in the business after 5 orders are placed online. Therefore, it can be interpreted as S + 24.
The right side of the inequality represents the sum of 5 (the number of people who placed orders) and 2 (the total shipping fees collected). Therefore, it can be interpreted as 5 + 2.
However, based on the given word problem, the inequality should represent the condition that the money earned is used to invest in the business. In other words, the inequality should indicate that the money earned (S) should be greater than or equal to the sum of the scrunchie orders (10 dozen scrunchies) and the total shipping fees ($10). This can be represented by the inequality S ≥ 10 + 10 or simplified as S ≥ 20.
Therefore, your current inequality, S + 24 </ 5 + 2, does not match the information provided in the word problem. The correct inequality should be S ≥ 20.