Question

Write a real-life word problem that can be solved using the inequality below. 10x+500 greater than or equal to 2500

Answer 1

Jessica is planning for her summer vacation and wants to save at least $2500. Starting with $500, she saves $10 each day. By solving the inequality 10x + 500 ≥ 2500, we can find that she needs to save for at least 200 days.

Step-by-step explanation:

Let's say, Jessica wants to save at least $2500 for her summer vacation. She already has $500 in her savings account. If she saves $10 per day, determine how many days she must save to reach her goal.

To solve this, we can use the inequality 10x + 500 ≥ 2500, where x represents the number of days.

Steps to solve the inequality:

1. Subtract 500 from both sides of the inequality: 10x ≥ 2000.
2. Divide both sides by 10 to find the number of days: x ≥ 200.

Therefore, Jessica needs to save money for at least 200 days to reach her goal of $2500 for her vacation.