Linear vs. Exponential Functions: Real-World Applications

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear function to represent the total cost of renting the car based on the number of miles driven. What is the cost if you drive 150 miles?

• $45

• $90

• $75

• $60

A population of bacteria doubles every 3 hours. If you start with 500 bacteria, write an exponential function to represent the population after 't' hours. How many bacteria will there be after 9 hours?

• 6000

• 2500

• 3000

• 4000

A gym charges a monthly membership fee of $40 plus $10 for each class attended. Write a linear function to represent the total cost based on the number of classes attended. If a member attends 5 classes, what is the total cost?

• $90

• $80

• $100

• $70

A tree grows 2 inches every year. Write a linear function to represent the height of the tree after 't' years if it starts at 5 inches. What will be the height after 10 years?

• 25 inches

• 15 inches

• 20 inches

• 30 inches

A savings account has an initial deposit of $1,000 and earns 5% interest compounded annually. Write an exponential function to represent the amount in the account after 't' years. How much will be in the account after 5 years?

• $1,276.28

• $1,000.00

• $1,200.00

• $1,500.00

A taxi company charges a base fare of $2.50 plus $1.50 per mile. Write a linear function to represent the total fare based on the number of miles traveled. What is the fare for a 10-mile trip?

• $15.00

• $12.50

• $20.00

• $17.50

A certain species of fish in a lake increases its population by 10% each year. If the current population is 1,200 fish, write an exponential function to represent the population after 't' years. How many fish will there be after 3 years?

• 1597

• 1800

• 1200

• 1500

A phone plan costs $25 per month plus $0.10 per text message. Write a linear function to represent the total cost based on the number of text messages sent. If a user sends 200 messages, what is the total cost?

• $45

• $50

• $30

• $60

A plant grows at a rate of 3 inches per month. Write a linear function to represent the height of the plant after 't' months if it starts at 12 inches. What will be the height after 4 months?

• 18 inches

• 30 inches

• 24 inches

• 20 inches

A bank offers a savings account with an initial deposit of $500 that grows by 4% each year. Write an exponential function to represent the amount in the account after 't' years. How much will be in the account after 10 years?

• 800.00

• 720.00

• 600.00

• 740.82