Writing and Graphing Linear Inequalities in Real Life

A local gym charges a monthly fee of $30 plus $5 for each class attended. Write an inequality to represent the total cost (C) for attending x classes if you want to spend no more than $100.

• 30 + 5x < 100

• 30 + 5x ≥ 100

• 30 + 5x = 100

• 30 + 5x ≤ 100

A farmer has 200 feet of fencing to create a rectangular pen for sheep. If the length of the pen is represented by x, write an inequality for the width (y) of the pen.

• y < 50 - x

• y < 100 - x

• y = 200 - x

• y > 100 - x

A school is planning a field trip and has a budget of $500. The cost per student is $20. Write an inequality to represent the maximum number of students (s) that can attend the trip.

• s ≤ 30

• s ≤ 25

• s ≤ 15

• s ≤ 20

A store sells notebooks for $2 each and pens for $1 each. If a student has $15 to spend, write an inequality to represent the number of notebooks (n) and pens (p) they can buy.

• 2n + p ≤ 15

• n + 2p ≤ 15

• n + p ≤ 15

• 3n + 2p ≤ 15

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an inequality to represent the total cost (C) if a customer wants to spend no more than $100.

• 50 + 0.20m ≥ 100

• 50 + 0.20m = 100

• 50 + 0.20m ≤ 100

• 50 + 0.20m < 100

A restaurant offers a special deal where a meal costs $12 and a drink costs $3. Write an inequality to represent the maximum number of meals (m) and drinks (d) that can be purchased for $60.

• 12m + 3d ≤ 60

• 15m + 2d ≤ 60

• 12m + 4d ≤ 60

• 10m + 5d ≤ 60

A concert venue has a seating capacity of 500. If tickets are sold for $25 each, write an inequality to represent the maximum number of tickets (t) that can be sold without exceeding capacity.

• t <= 500

• t >= 500

• t < 500

• t = 500

A charity event aims to raise at least $1,000. If each ticket sold is $15, write an inequality to represent the number of tickets (t) that need to be sold to meet the goal.

• t <= 66.67

• t > 100

• 15t < 1000

• 15t >= 1000

A student has a part-time job and earns $10 per hour. If they want to save at least $200 for a new phone, write an inequality to represent the number of hours (h) they need to work.

• 5h >= 200

• 10h >= 200

• h <= 20

• 15h < 200

A clothing store has a sale where shirts are $15 each and pants are $25 each. If a customer wants to spend no more than $100, write an inequality to represent the number of shirts (s) and pants (p) they can buy.

• 15s + 25p < 100

• 20s + 15p ≤ 100

• 15s + 25p ≤ 100

• 10s + 20p ≤ 100