Linear and Exponential Functions: Real-World Challenges

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 for 'm' miles. What is the cost if you drive 50 miles?

• $30

• $50

• $60

• $40

A population of bacteria doubles every 3 hours. If you start with 100 bacteria, write an exponential function to represent the population after 't' hours. How many bacteria will there be after 9 hours?

• 800

• 1000

• 600

• 400

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

• $90

• $70

• $100

• $50

A tree grows 2 inches every year. If it is currently 5 feet tall, write a linear function to represent its height after 'y' years. How tall will the tree be in 10 years?

• 6.67 feet

• 8 feet

• 5 feet

• 7.5 feet

A savings account has an initial deposit of $500 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?

• $600.00

• $638.14

• $700.00

• $500.00

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 for 'x' miles. What is the fare for a 10-mile trip?

• $17.50

• $20.00

• $12.50

• $15.00

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 'y' years. How many fish will there be after 4 years?

• 4000

• 12000

• 8000

• 16200

A factory produces 100 units of a product in the first week and increases production by 20 units each subsequent week. Write a linear function to represent the total production after 'w' weeks. How many units will be produced after 6 weeks?

• 150 units

• 180 units

• 220 units

• 200 units

A smartphone app has 1,000 users and the number of users increases by 10% each month. Write an exponential function to represent the number of users after 'm' months. How many users will there be after 6 months?

• 1200

• 1500

• 2000

• 1772

A book store sells a book for $15 and offers a discount of $3 for each additional book purchased. Write a linear equation to represent the total cost for 'b' books. What is the total cost for buying 4 books?

• 30

• 60

• 51

• 45