Exploring Linear Functions: Equations & Graphs in Action

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).

• C = 50 - 0.20m

• C = 0.20m - 50

• C = 50 + 0.20m

• C = 50 + 0.50m

The graph of a linear function shows that a store sells 100 items for $200. If the store sells 150 items, what would be the total revenue? Interpret the graph to find the slope.

• $250

• $400

• $150

• $300

A gardener plants flowers in a straight line. If he plants 5 flowers every hour, write an equation that represents the number of flowers (F) planted after h hours.

• F = 5h

• F = 5h + 2

• F = 10h

• F = h/5

A phone plan costs $30 per month plus $0.10 per text message. Write an equation to represent the total cost (C) based on the number of text messages (t) sent.

• C = 30 + 0.10t

• C = 0.10 + 30t

• C = 30 + 0.05t

• C = 30t + 0.10

The temperature in a city decreases linearly from 70°F to 50°F over 4 hours. What is the rate of change of temperature per hour?

• 3°F per hour

• 5°F per hour

• 10°F per hour

• 2°F per hour

A taxi charges a base fare of $3 plus $2 for each mile driven. If a passenger drives 10 miles, how much will the fare be? Write an equation to represent this situation.

• $23

• $30

• $20

• $15

A school is planning a field trip. The cost per student is $15, and there are 20 students. Write an equation to find the total cost (C) for the trip based on the number of students (s).

• C = 15s

• C = 300s

• C = 15 + s

• C = 20s

A linear graph shows the relationship between hours studied and test scores. If a student scores 60 points after studying for 2 hours, what would be the expected score after studying for 5 hours?

• 90

• 180

• 150

• 120

A factory produces 200 toys in 5 hours. If the production rate is constant, how many toys will be produced in 8 hours? Write an equation to represent this situation.

• 250 toys

• 320 toys

• 400 toys

• 280 toys

A local gym charges a monthly fee of $40 plus $5 for each class attended. Write an equation to represent the total cost (C) based on the number of classes (c) attended.

• C = 40 + 5c

• C = 40c + 5

• C = 40 + c/5

• C = 5 + 40c