194k views
1 vote
​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.

User Wbrugato
by
8.5k points

1 Answer

2 votes

Final answer:

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.

User Andrey  Smorodov
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.