Exploring Exponential and Linear Growth Rates

A population of bacteria doubles every 3 hours. If you start with 100 bacteria, how many will there be after 12 hours?

• 1600

• 800

• 400

• 3200

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you drive 150 miles, how much will you pay?

• $80

• $70

• $100

• $90

A tree grows 2 inches every year (linear growth). If it is currently 5 feet tall, how tall will it be in 10 years?

• 4 feet

• 6 feet

• 8 feet

• 10 feet

A savings account earns 5% interest compounded annually. If you deposit $1,000, how much will you have after 5 years?

• $1,276.28

• $1,500.00

• $1,100.00

• $1,200.00

A factory produces 200 units of a product in the first month and increases production by 50 units each subsequent month. How many units will be produced in the 6th month?

• 450

• 400

• 500

• 350

A smartphone app's user base grows exponentially, doubling every month. If it starts with 1,000 users, how many users will it have after 4 months?

• 16000

• 8000

• 4000

• 20000

A linear function models the cost of a subscription service at $10 per month. How much will it cost after 6 months?

• $60

• $100

• $50

• $30

A population of rabbits increases by 30% each year. If there are currently 200 rabbits, how many will there be after 2 years?

• 338

• 250

• 300

• 400

A gym charges a one-time fee of $100 and $30 per month. If you want to know the total cost after 8 months, what will it be?

• $250

• 340

• $400

• $300

A plant grows according to a linear model, increasing by 3 cm each week. If it is currently 15 cm tall, how tall will it be after 5 weeks?

• 30 cm

• 35 cm

• 18 cm

• 25 cm