Question

Describe a real world scenario that could be modeled by the following inequality. You should also define what the variable, x, is representing based on your example.

7x+10≥85

Answer 1

A real-world scenario that could be modeled by the inequality 7x + 10 ≥ 85 is a person's monthly income and expenses.

In this case, the variable x represents the amount of money the person earns per month. The inequality states that the person's monthly income multiplied by 7 (indicating seven times a week) and added to 10 (representing their remaining expenses) should be greater than or equal to 85 (their target amount to save or meet their financial goals).

For example, let's assume the person's monthly income is $10. Plugging this value into the inequality, we get:

7(10) + 10 ≥ 85
70 + 10 ≥ 85
80 ≥ 85

Since 80 is not greater than or equal to 85, this person with a monthly income of $10 would not achieve their financial goals or have enough money left over after expenses.