Exploring Linear Functions and Proportional Relationships

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) based on the number of miles (m) driven. How much would it cost to drive 150 miles?

• $90

• $120

• $60

• $30

A school is selling tickets for a play. Each ticket costs $5. If the school sells 120 tickets, how much money will they make? Graph the relationship between the number of tickets sold and the total money made.

• $750

• $300

• $450

• $600

A bike shop sells bikes for $200 each. If a customer buys 3 bikes, how much will they pay in total? Create a graph that shows the relationship between the number of bikes purchased and the total cost.

• $600

• $800

• $2000

• $400

A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to make a larger batch using 8 cups of sugar, how many cups of flour will you need? Is this a proportional relationship?

• 6 cups of flour

• 5.33 cups of flour

• 8 cups of flour

• 4 cups of flour

A factory produces 500 toys in 5 hours. If the production rate remains constant, how many toys will be produced in 8 hours? Write a linear function to represent this situation and graph it.

• 900 toys

• 700 toys

• 800 toys

• 600 toys

A bookstore sells notebooks for $3 each. If a student buys 4 notebooks, how much will they spend? Create a table to show the relationship between the number of notebooks and the total cost, and graph it.

• $9

• $15

• $12

• $6

A swimming pool is being filled with water at a rate of 10 gallons per minute. If the pool starts with 50 gallons of water, how much water will be in the pool after 30 minutes? Write a linear equation to represent this situation.

• 250 gallons

• 350 gallons

• 400 gallons

• 300 gallons

A concert venue has a seating capacity of 500. If 200 tickets are sold, what percentage of the seats are filled? Create a linear function to represent the relationship between the number of tickets sold and the percentage of seats filled.

• 80%

• 40%

• 60%

• 20%