I am a little unsure of how to answer this question:

Write an inequality to represent the limit you may not exceed when spending to make your product.

Here's the background information I have.

You are going to decide on a summer business to start. Figure out what you will do, how much it will cost you, and how much you will charge.

Total amount of money you will be investing:
$100

What item are you making and selling and also why?
The item I'm making is fresh squeezed lemonade because it's a profitable business in the summer and I like lemonade.

Describe the setup of your business:
Cost to make each item: $0.20 per cup and $2.33 per gallon
Selling price of each item: $0.50 per cup

Please help me as soon as you can. Thank you!

To answer the question, we need to determine the maximum amount of money that you can spend on making your product. This means we need to find the spending limit.

First, let's consider the cost to make each item. According to the information given, making one cup of lemonade costs $0.20 and making a gallon of lemonade costs $2.33.

Since there are 16 cups in a gallon, we can calculate the cost per cup by dividing the cost of a gallon by the number of cups in a gallon:
Cost per cup = $2.33 / 16 = $0.1456 (rounded to four decimal places)

Now that we have the cost per cup, let's determine the spending limit. We only have $100, so the maximum amount we can spend on making the product is $100.

To find the number of cups we can make with the given amount of money, we divide the total investment amount by the cost per cup:
Number of cups = $100 / $0.1456

Simplifying this expression will give us the maximum number of cups we can make without exceeding our spending limit. Let's calculate it:

Number of cups ≈ 687.997 (rounded to three decimal places)

Since you can't make fractional cups, the maximum number of cups you can make without exceeding your spending limit is 687 cups.

Now, we can write an inequality to represent the limit you may not exceed when spending to make your product. Let's call the number of cups made "x":

0.20x ≤ 100

In words, this inequality states that the cost of making "x" cups of lemonade should not exceed $100.

So, the inequality representing the limit you may not exceed when spending to make your product is 0.20x ≤ 100, where "x" represents the number of cups made.