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?

• $75

• $45

• $90

• $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?

• 5000

• 4000

• 2500

• 3000

A gym charges a monthly membership fee of $40 and an additional $10 for each class attended. Write a linear equation to represent the total cost based on the number of classes attended. What is the total cost if you attend 5 classes?

• $80

• $100

• $70

• $90

A tree grows 2 inches every year. If it is currently 10 inches tall, write a linear function to represent its height after 't' years. How tall will the tree be in 5 years?

• 30 inches

• 20 inches

• 25 inches

• 15 inches

A certain investment grows by 5% each year. If you invest $1,000, write an exponential function to represent the value of the investment after 't' years. What will the investment be worth after 4 years?

• 1100.00

• 1000.00

• 1500.00

• 1215.51

A taxi charges a base fare of $2.50 and $0.50 for each mile traveled. Write a linear function to represent the total fare based on the number of miles. How much will the fare be for a 10-mile trip?

• $7.50

• $12.50

• $5.00

• $10.00

A certain species of fish in a lake increases its population by 10% each 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 3 years?

• 220

• 300

• 266

• 250

A phone plan costs $25 per month plus $0.10 per text message sent. Write a linear equation to represent the total cost based on the number of text messages sent. What is the total cost if you send 100 messages?

• $25

• $50

• $35

• $15

A savings account earns 3% interest compounded annually. If you deposit $500, write an exponential function to represent the amount in the account after 't' years. How much will be in the account after 5 years?

• $700.00

• $650.00

• $500.00

• $579.64

A factory produces 100 units of a product each day. If production increases by 20 units each day, write a linear function to represent the total production after 't' days. How many units will be produced after 7 days?

• 150 units

• 180 units

• 300 units

• 220 units