Write an inequality that represents the maximum amount you are willing to spend on your business start-up (around 100$). Lemonade is 1$, the customer will pay 2.50$ for one glass of lemonade.

Answer 1

Let's assume the maximum amount you are willing to spend on your business start-up is represented by the variable 'x'.

The cost of lemonade for one glass is $1.
The price at which the customer will buy one glass of lemonade is $2.50.

To find the maximum amount spent, we need to consider the cost of ingredients (lemonade) and the profit made on each glass sold.

The cost equation can be represented as:
Cost = Number of glasses of lemonade * Cost of one glass of lemonade = 1 * x

The profit equation can be represented as:
Profit = Number of glasses of lemonade * Price per glass = 2.50 * x

Since the maximum amount you are willing to spend is $100, we can write the following inequality:

Cost + Profit ≤ Maximum Amount
1x + 2.50x ≤ 100

Simplifying,
3.50x ≤ 100

Thus, the inequality that represents the maximum amount you are willing to spend on your business start-up is 3.50x ≤ 100.