Write an inequality that models a real world situation. Describe your situation and what a variable X represents
Inequality: X > 18
Situation: Age restriction for voting in a country
Description: In this real-world situation, the variable X represents a person's age. The inequality X > 18 is used to model the age restriction for voting in a specific country. The inequality suggests that in order to be eligible to vote in this country, a person must be older than 18 years old.
Inequality: 3x + 5 < 20
Situation: A bakery sells muffins for $3 each and aims to make less than $20 in profit.
Variable X: X represents the number of muffins sold.
Description: The inequality 3x + 5 < 20 models the situation in which the bakery wants to ensure that their profit stays below $20. The variable X represents the number of muffins sold (the quantity). By multiplying the number of muffins sold by the price ($3), adding a constant expense of $5, and expressing it as less than $20, the bakery guarantees that their profit does not exceed the specified limit.
Sure! Let's consider a real-world situation where you are buying tickets for a concert. The price of each ticket is $50 and you want to determine if you have enough money to purchase the tickets.
In this scenario, we can represent the total cost of the tickets using the variable X. The inequality that models this situation can be written as:
50X ≤ M
In this inequality, X represents the number of tickets you want to purchase, M represents the amount of money you have. This inequality states that the product of $50 (the price of each ticket) and the variable X (the number of tickets) should be less than or equal to the amount of money you have (M).
By substituting your own values for M and solving for X, you can determine the maximum number of tickets you can purchase given your budget.