Linear vs. Exponential Functions: Real-World Applications

A car rental company charges a flat fee of $50 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?

• $100

• $60

• $120

• $80

A population of bacteria doubles every hour. If you start with 100 bacteria, write an exponential function to represent the population after 't' hours. How many bacteria will there be after 5 hours?

• 4000

• 800

• 3200

• 1600

A gym charges a monthly membership fee of $30 and an additional $10 for each class attended. Write a linear function for the total cost based on the number of classes attended. What is the total cost if you attend 8 classes?

• $70

• $110

• $130

• $90

A tree grows 3 inches every year. If it is currently 5 feet tall, write a linear function to represent its height after 't' years. How tall will the tree be in 10 years?

• 8.5 feet

• 6 feet

• 9 feet

• 7.5 feet

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 3 years?

• $1,050.00

• $1,100.00

• $1,157.63

• $1,200.00

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

• $12.50

• $15.00

• $20.00

• $17.50

A certain species of fish in a lake is known to triple in population every year. If there are currently 200 fish, write an exponential function to represent the population after 't' years. How many fish will there be after 4 years?

• 16200

• 4000

• 12000

• 8000

A phone plan costs $25 per month plus $0.10 per text message sent. Write a linear function to represent the total cost based on the number of text messages sent. What is the total cost if you send 200 messages?

• $45

• $25

• $50

• $30

A plant grows at a rate of 2 inches per week. If it starts at 10 inches tall, write a linear function to represent its height after 't' weeks. How tall will the plant be after 6 weeks?

• 26 inches

• 30 inches

• 22 inches

• 18 inches

A bank offers an account that doubles your money every 5 years. If you deposit $500, write an exponential function to represent the amount in the account after 't' years. How much will you have after 15 years?

• $1000

• $8000

• $2000

• $4000