Inequality Word Problems Challenge

The video tutorial covers solving inequality word problems, focusing on two examples. The first example involves Jack's family planning a trip to Disney World with a budget constraint, requiring the setup and solution of an inequality. The second example involves Keith's savings account, where he withdraws a fixed amount weekly, and the goal is to determine how many weeks he can continue this while maintaining a minimum balance. The tutorial emphasizes setting up inequalities, solving them, and understanding the implications of the solutions.

What is the total budget Jack and his family have for their vacation?

• $2,000

• $215

• $1,492

• $3,200

What does the 'per' in '$215 per day' indicate?

• A fixed cost

• A tax

• A variable cost

• A discount

Which variable is used to represent the number of days in the inequality?

• X

• N

• D

• T

What is the inequality that represents the total cost of Jack's trip?

• 215D + 1492 ≤ 3200

• 215D + 1492 = 3200

• 215D + 1492 < 3200

• 215D + 1492 > 3200

After subtracting the airfare from the budget, what is the remaining amount?

• $1,708

• $1,492

• $1,215

• $1,78

How many full days can Jack and his family stay within their budget?

• 6 days

• 7 days

• 9 days

• 8 days

How much money does Keith have in his savings account at the beginning of the summer?

• $25

• $500

• $100

• $200

What is the minimum amount Keith wants to have at the end of the summer?

• $100

• $400

• $200

• $300

How much does Keith withdraw per week?

• $35

• $25

• $20

• $30

What inequality represents Keith's withdrawals over the summer?

• 500 + 25W ≥ 200

• 500 - 25W ≤ 200

• 500 + 25W ≤ 200

• 500 - 25W ≥ 200