Graphing Inequalities: Real-Life Scenarios for 8th Graders

A local bakery sells cupcakes for $2 each and cookies for $1 each. If the bakery wants to make at least $50 in one day, write an inequality to represent the number of cupcakes (x) and cookies (y) sold. Graph the inequality.

• 2x + y >= 50

• 3x + y <= 50

• 2x + 3y > 50

• x + 2y >= 50

A school is planning a field trip and has a budget of $300. The cost per student is $15. Write an inequality to represent the maximum number of students (x) that can go on the trip. Graph the inequality.

• 15x < 300, x < 20

• 10x ≤ 300, x ≤ 30

• 15x ≤ 300, x ≤ 20

• 20x ≤ 300, x ≤ 15

A gym charges a monthly fee of $30 plus $5 for each class attended. If a member wants to spend no more than $100 in a month, write an inequality for the number of classes (x) they can attend. Graph the inequality.

• x ≤ 10

• x ≤ 5

• x ≤ 14

• x ≤ 20

A farmer has a total of 100 acres of land to plant corn and wheat. If he plants corn on x acres and wheat on y acres, write an inequality to represent the land usage. Graph the inequality.

• x + y < 100

• x + y ≤ 100

• x + y ≥ 100

• x + y = 100

A concert venue has a seating capacity of 500. If tickets are sold for $20 each, write an inequality to represent the total revenue (R) if they want to earn at least $8000. Graph the inequality.

• 20x <= 8000

• x <= 400

• 20x >= 8000, or x >= 400

• 20x = 8000

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, write an inequality for the number of miles (x) they can drive. Graph the inequality.

• x ≤ 150

• x ≤ 300

• x ≤ 250

• x ≤ 200

A charity event aims to raise at least $2000. If each ticket sold is $25, write an inequality to represent the number of tickets (x) that need to be sold. Graph the inequality.

• x < 80

• x ≤ 80

• x ≥ 80

• x > 80

A store is having a sale where each shirt costs $15 and each pair of pants costs $25. If a customer wants to spend no more than $100, write an inequality for the number of shirts (x) and pants (y) they can buy. Graph the inequality.

• 10x + 20y ≤ 100

• 20x + 25y ≤ 100

• 15x + 30y ≤ 100

• 15x + 25y ≤ 100

A student has a budget of $50 to spend on books. If each book costs $10, write an inequality to represent the maximum number of books (x) they can buy. Graph the inequality.

• 10x <= 50, x <= 5

• x < 5

• x <= 10

• 10x < 50

A community center has a limit of 200 participants for a workshop. If each participant pays $10, write an inequality to represent the total income (I) if they want to earn at least $1000. Graph the inequality.

• 10p ≤ 1000, where p = 200

• p ≥ 100, where I = 10p

• 10p ≥ 1000, where p ≤ 200

• 10p < 1000, where p ≤ 200