Real-World Matrix Problems: Grade 8 Applications

A school is organizing a field trip for 120 students. If each bus can hold 30 students, how many buses are needed? Represent the number of students and buses in a matrix and perform matrix multiplication to find the answer.

• 6

• 4

• 5

• 3

A bakery produces 3 types of pastries: croissants, muffins, and cookies. If they make 50 croissants, 30 muffins, and 20 cookies, represent this in a matrix. If each croissant costs $2, each muffin $1.5, and each cookie $1, create a price matrix and calculate the total revenue using matrix multiplication.

• 200

• 150

• 165

• 180

A gym has 4 types of classes: Yoga, Zumba, Pilates, and Spin. If 10 people attend Yoga, 15 attend Zumba, 5 attend Pilates, and 20 attend Spin, represent this in a matrix. If each class costs $10, $12, $8, and $15 respectively, find the total income using matrix multiplication.

• 700

• 580

• 620

• 500

A farmer has 3 fields with different crops: corn, wheat, and soybeans. The yield per field is represented in a matrix. If the yields are 200 kg, 150 kg, and 100 kg respectively, and the prices per kg are $1, $0.5, and $0.8, calculate the total revenue using matrix multiplication.

• 300

• 355

• 400

• 250

A movie theater has 3 types of tickets: Adult, Child, and Senior. If they sell 50 Adult tickets, 30 Child tickets, and 20 Senior tickets, represent this in a matrix. If the prices are $12, $8, and $10 respectively, calculate the total sales using matrix multiplication.

• 890

• 950

• 1040

• 1100

A clothing store sells shirts, pants, and jackets. If they have 40 shirts, 30 pants, and 20 jackets, represent this in a matrix. If the prices are $20, $30, and $50 respectively, find the total revenue using matrix multiplication.

• 2500

• 3200

• 3000

• 2700

A delivery service has 3 types of packages: Small, Medium, and Large. If they deliver 100 Small packages, 50 Medium packages, and 25 Large packages, represent this in a matrix. If the delivery fees are $5, $10, and $15 respectively, calculate the total delivery income using matrix multiplication.

• 1375

• 1500

• 1200

• 1000

A restaurant has 3 types of meals: Appetizers, Main Courses, and Desserts. If they serve 60 Appetizers, 40 Main Courses, and 30 Desserts, represent this in a matrix. If the prices are $5, $15, and $7 respectively, calculate the total sales using matrix multiplication.

• 1110

• 900

• 1500

• 1200

A sports team has 3 types of equipment: Balls, Bats, and Helmets. If they have 25 Balls, 15 Bats, and 10 Helmets, represent this in a matrix. If the costs are $10, $20, and $15 respectively, find the total cost using matrix multiplication.

• 700

• 600

• 800

• 500