Question

​In a saving account, Sam deposited $400. She wants to have at least $100 in her account by the end of summer. She withdraws $15 every week for food and movie tickets. Write an inequality that represents her situation.

Answer 1

To represent Sam's situation in her savings account, we can create an inequality: 400 - 15w ≥ 100. This inequality states that the initial deposit minus the total amount spent on food and movie tickets should be greater than or equal to $100.

Step-by-step explanation:

To represent Sam's situation in her savings account, we can create an inequality. Let's denote the number of weeks as 'w'. Since Sam withdraws $15 every week for food and movie tickets, her balance will decrease by $15w. So, Sam wants to have at least $100 in her account by the end of summer, which is approximately 12 weeks. We can write the inequality as:

400 - 15w ≥ 100

This inequality states that the initial deposit of $400 minus the total amount spent on food and movie tickets (15w) should be greater than or equal to $100. Solving this inequality will give us the range of values for 'w' that satisfy Sam's goal.