Identifying Linear vs Exponential Growth Scenarios

A car rental company charges a flat fee of $30 per day to rent a car. If you rent the car for 5 days, how much will it cost? Is this a linear or exponential function?

• $150, exponential function

• $150, linear function

• $200, linear function

• $100, linear function

A population of bacteria doubles every hour. If you start with 100 bacteria, how many will there be after 3 hours? Is this a linear or exponential function?

• 800

• 200

• 400

• 1000

A gym charges a monthly membership fee of $50 plus $10 for each class you attend. If you attend 4 classes in a month, what is your total cost? Is this a linear or exponential function?

• $100, exponential function

• $70, linear function

• $80, linear function

• $90, linear function

A tree grows 2 inches every year. If it is currently 10 inches tall, how tall will it be in 5 years? Is this a linear or exponential function?

• 25 inches

• 15 inches

• 30 inches

• 20 inches

A savings account offers a 5% interest rate compounded annually. If you deposit $1,000, how much will you have after 3 years? Is this a linear or exponential function?

• $1,100.00

• $1,150.00

• $1,200.00

• $1,157.63

A factory produces 200 toys on the first day and increases production by 50 toys each day. How many toys will be produced on the 10th day? Is this a linear or exponential function?

• 650 toys. This is a linear function.

• 500 toys. This is a quadratic function.

• 600 toys. This is an exponential function.

• 700 toys. This is a linear function.

A smartphone app has 1,000 downloads on the first day and the number of downloads triples every day. How many downloads will it have after 4 days? Is this a linear or exponential function?

• 27000

• 1000

• 4000

• 8000

A taxi service charges a base fare of $3 plus $2 for each mile driven. If you travel 10 miles, what is the total fare? Is this a linear or exponential function?

• $15, linear function

• $25, exponential function

• $23, linear function

• $20, linear function

A viral video starts with 500 views and gains 200 additional views each hour. How many views will it have after 5 hours? Is this a linear or exponential function?

• 2000 views, linear function

• 1000 views, linear function

• 1500 views, linear function

• 1200 views, exponential function

A plant grows at a rate of 3 cm per week. If it starts at 15 cm, how tall will it be after 8 weeks? Is this a linear or exponential function?

• 39 cm

• 30 cm

• 24 cm

• 45 cm