Inequalities in Real Life: Writing & Solving Challenges

A local gym charges a monthly fee of $30 plus $5 for each class attended. Write an inequality to represent the total cost if a member wants to spend no more than $100 on classes. Solve the inequality to find the maximum number of classes they can attend.

• 10

• 16

• 12

• 14

A school is planning a field trip and has a budget of $500. The cost per student is $25. Write an inequality to represent the number of students that can attend the trip. Solve the inequality to find the maximum number of students that can go.

• 15

• 30

• 25

• 20

Maria is saving money to buy a new bike that costs $250. She currently has $75 and saves $15 each week. Write an inequality to represent how many weeks it will take her to save enough money. Solve the inequality to find the number of weeks needed.

• 12 weeks

• 10 weeks

• 15 weeks

• 8 weeks

A farmer has a rectangular field that is 50 meters long and wants to fence it. The total length of fencing available is 200 meters. Write an inequality to represent the maximum width of the field. Solve the inequality to find the maximum width.

• 70 meters

• 100 meters

• 30 meters

• 50 meters

A concert hall has a seating capacity of 300 people. If tickets are sold for $20 each, write an inequality to represent the total revenue if they want to earn at least $4000. Solve the inequality to find the minimum number of tickets that must be sold.

• 300

• 150

• 250

• 200

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an inequality to represent the total cost if a customer wants to spend no more than $100. Solve the inequality to find the maximum number of miles they can drive.

• 200

• 250

• 150

• 300

A bookstore is having a sale where each book costs $12. If a customer wants to spend no more than $60, write an inequality to represent the number of books they can buy. Solve the inequality to find the maximum number of books they can purchase.

• 4

• 5

• 7

• 6

A charity event aims to raise at least $2000. If each ticket sold is $25, write an inequality to represent the number of tickets that need to be sold. Solve the inequality to find the minimum number of tickets required.

• 100

• 120

• 80

• 60

A student has a budget of $150 for school supplies. If notebooks cost $5 each and pens cost $2 each, write an inequality to represent the total cost of buying notebooks and pens. Solve the inequality to find the maximum number of notebooks and pens they can buy if they want to stay within budget.

• Maximum number of items is 60 (10 notebooks and 0 pens).

• Maximum number of items is 30 (0 notebooks and 15 pens).

• Maximum number of items is 75 (0 notebooks and 75 pens).

• Maximum number of items is 50 (25 notebooks and 0 pens).

A factory produces toy cars and has a production limit of 500 cars per day. If they produce 300 cars, write an inequality to represent the maximum number of additional cars they can produce. Solve the inequality to find the maximum additional production allowed.

• 100

• 300

• 400

• 200