I am having problems with inequalities. How can I express this problem as one?
Derek has $750 at the start of summer and spends $65 a week for expenses. How many weeks can he withdraw expenses and still have $250 at the end of summer.
65x < 750 - 250
Could you explain how the amount of X does not need to be included in the inequality?
To express this problem as an inequality, let's break it down step by step:
1. Identify the variables: The two main variables in this problem are:
- W = the number of weeks Derek can withdraw expenses and still have $250 at the end of summer.
2. Determine the relevant information:
- Derek starts with $750.
- He spends $65 per week for expenses.
- He wants to have $250 at the end of summer.
3. Express the information mathematically:
- Derek's starting amount minus the total amount he spends on expenses over the course of W weeks should be greater than or equal to $250.
- Mathematically, it can be written as: 750 - 65W ≥ 250
So, the inequality that represents this problem is 750 - 65W ≥ 250.