Solving Real-World Problems with Linear Relationships

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an equation to represent the total cost (C) as a function of miles driven (m). How much would it cost to drive 100 miles?

• $100

• $50

• $70

• $90

A school is planning a field trip and has a budget of $300. The cost per student is $15. Write an equation to represent the number of students (s) that can go on the trip based on the budget. How many students can attend?

• 15

• 25

• 30

• 20

A gardener is planting flowers in a rectangular garden. The length of the garden is twice the width. If the total area of the garden is 200 square feet, write an equation to find the dimensions of the garden. What are the length and width?

• Length: 20 feet, Width: 10 feet

• Length: 25 feet, Width: 8 feet

• Length: 15 feet, Width: 15 feet

• Length: 30 feet, Width: 5 feet

A store sells notebooks for $2 each and pens for $1 each. If a student buys a total of 10 items and spends $16, write a system of equations to represent the situation. How many notebooks and pens did the student buy?

• 4 notebooks and 6 pens

• 7 notebooks and 3 pens

• 6 notebooks and 4 pens

• 5 notebooks and 5 pens

A taxi company charges a base fare of $3 plus $1.50 for each mile driven. Write an equation to represent the total fare (F) as a function of miles driven (d). How much would a 5-mile ride cost?

• $15.50

• $10.50

• $12.00

• $8.00

A local gym charges a monthly membership fee of $30 plus $5 for each class attended. Write an equation to represent the total cost (T) for a month based on the number of classes (c) attended. If a member attends 8 classes, what is the total cost?

• $100

• $70

• $80

• $50

A bookstore sells novels for $10 each and magazines for $5 each. If a customer buys a total of 12 items and spends $80, write a system of equations to find out how many novels and magazines were purchased. What are the quantities?

• 3 novels and 9 magazines

• 5 novels and 7 magazines

• 4 novels and 8 magazines

• 6 novels and 6 magazines

A farmer has a total of 100 animals, consisting of cows and chickens. If cows are counted as 1 and chickens as 0.5, write an equation to represent the total number of animals. If there are 40 cows, how many chickens are there?

• 120

• 60

• 80

• 100

A concert venue has a seating capacity of 500. If tickets are sold for $20 each, write an equation to represent the total revenue (R) based on the number of tickets sold (t). How much revenue is generated if 300 tickets are sold?

• 5000

• 7000

• 4000

• 6000

A pizza shop sells small pizzas for $8 and large pizzas for $12. If a customer orders a total of 10 pizzas and spends $88, write a system of equations to determine how many small and large pizzas were ordered. What are the quantities?

• 8 small pizzas and 2 large pizzas

• 6 small pizzas and 4 large pizzas

• 10 small pizzas and 0 large pizzas

• 5 small pizzas and 5 large pizzas