Comparing Linear and Exponential Growth Rates Challenge

A car rental company charges a flat fee of $30 per day. If you rent a car for 5 days, how much will it cost? Write a linear equation to represent the total cost based on the number of days rented.

• $75

• $100

• $200

• $150

A bacteria culture doubles in size every hour. If you start with 100 bacteria, how many will there be after 3 hours? Write an exponential equation to represent the growth of the bacteria.

• 800

• 400

• 200

• 1600

A local gym charges a monthly membership fee of $50. If you want to compare this to a gym that offers a one-time fee of $200 for lifetime access, how many months would you need to attend the first gym for it to be more expensive?

• 5

• 10

• 7

• 3

A tree grows 2 inches every year. If it is currently 10 inches tall, how tall will it be after 5 years? Write a linear equation to find the height of the tree after 5 years.

• 15 inches

• 25 inches

• 20 inches

• 30 inches

A savings account offers a 5% interest rate compounded annually. If you deposit $1,000, how much money will you have after 3 years? Write an exponential equation to represent the growth of your savings.

• 1305.25

• 1200.00

• 1157.63

• 1100.50

A factory produces 500 units of a product each week. If production increases by 50 units each week, how many units will be produced in 4 weeks? Write a linear equation to find the total production after 4 weeks.

• 2300 units

• 1800 units

• 2000 units

• 2500 units

A population of rabbits grows exponentially. If there are currently 200 rabbits and the population doubles every month, how many rabbits will there be after 2 months? Write an exponential equation to represent this growth.

• 1000 rabbits

• 600 rabbits

• 400 rabbits

• 800 rabbits

A student saves $10 each week for a school trip. If the trip costs $300, how many weeks will it take for the student to save enough money? Write a linear equation to solve for the number of weeks needed.

• 25 weeks

• 20 weeks

• 30 weeks

• 40 weeks

A smartphone app has 1,000 downloads and is increasing its downloads by 20% each month. How many downloads will the app have after 3 months? Write an exponential equation to represent the growth in downloads.

• 1500

• 1200

• 2000

• 1728

A book store sells a book for $15. If they sell 10 books each day, how much revenue will they generate in a week? Write a linear equation to calculate the total revenue for the week.

• $1200

• $700

• $900

• $1050