Understanding and Graphing Exponential Growth in Real Life

A bacteria culture doubles in size every hour. If the culture starts with 5 bacteria, how many will there be after 'x' hours?

• 5 * x

• 10 * (2^x)

• 5 * (2^x)

• 5 + (2^x)

Tags

CCSS.HSF.LE.A.2

A tree grows at a rate of 3% per year. If the tree is currently 10 feet tall, what will its height be after 'x' years?

• 10 * (1.05^x)

• 10 + (3 * x)

• 10 * (2^x)

• 10 * (1.03^x)

A certain investment grows exponentially. If you invest $100 at an unknown annual interest rate, how much will it be worth after 'x' years if it reaches $400?

• The investment will be worth $300 after x years.

• The investment will be worth $200 after x years.

• The investment will be worth $400 after x years.

• The investment will be worth $500 after x years.

A population of rabbits increases by 50% every month. If there are currently 20 rabbits, how many will there be after 'x' months?

• 20 * (1.2^x)

• 20 * (1.5^x)

• 20 * (2^x)

• 20 + (20 * 0.5 * x)

A car's value decreases by 20% each year. If the car is currently worth $15,000, what will its value be after 'x' years?

• 15000 * (1.2^x)

• 15000 - (2000 * x)

• 15000 / (0.8^x)

• 15000 * (0.8^x)

A viral video gets 200 views on the first day and doubles its views each subsequent day. How many views will it have after 'x' days?

• 200 * (x^2)

• 200 * (2^x)

• 200 + (2^x)

• 100 * (2^x)

Tags

CCSS.HSF.LE.A.2

A certain species of fish in a lake grows exponentially. If there are currently 50 fish and the population doubles every year, how many fish will there be after 'x' years?

• 50 * 2^x

• 50 + 2x

• 100 * 2^x

• 50 * x^2

Tags

CCSS.HSF.LE.A.2

A savings account earns interest that compounds annually. If you start with $500 and it grows to $1,500 in 'x' years, what is the unknown interest rate?

• The interest rate is 10%.

• The interest rate cannot be determined without knowing the value of x.

• The interest rate is 15%.

• The interest rate is 5%.

A smartphone's battery life decreases exponentially. If it lasts 10 hours when fully charged, how long will it last after 'x' hours of use?

• 10 - kx

• 10 + kx

• 10 * e^(-kx)

• 10 * k^x

A city’s population is currently 1,000 and is expected to grow exponentially. If it reaches 4,000 in 'x' years, what is the growth factor?

• 2

• 4

• 10

• 8