Real World Exponents: Growth, Value & Measurement Challenges

A bacteria culture doubles in size every 3 hours. If the initial size is 2 bacteria, how many bacteria will there be after 12 hours?

• 32

• 16

• 8

• 64

A computer's processing speed is measured in gigahertz (GHz). If a computer has a speed of 2^3 GHz, what is its speed in GHz?

• 8 GHz

• 2 GHz

• 16 GHz

• 4 GHz

A certain tree grows at a rate of 2^4 inches per year. How tall will the tree be after 3 years if it starts at 10 inches?

• 50 inches

• 70 inches

• 58 inches

• 40 inches

A car's value depreciates by 20% each year. If the car is worth $20,000 now, what will its value be after 3 years, expressed as a power of 0.8?

• 10240

• 16000

• 12800

• 20480

A cell phone plan offers 2^5 GB of data per month. How many gigabytes of data does the plan provide?

• 64 GB

• 32 GB

• 24 GB

• 16 GB

A population of fish in a lake is modeled by the equation P(t) = 100 * 2^t, where t is the number of years. What will the population be after 5 years?

• 1500

• 4000

• 2500

• 3200

A square's area is represented by the equation A = s^2, where s is the length of a side. If the side length is 4 cm, what is the area of the square?

• 12 cm²

• 16 cm²

• 20 cm²

• 8 cm²

A video game character gains experience points at a rate of 3^n, where n is the level. How many experience points does the character have at level 4?

• 27

• 81

• 100

• 64

A savings account earns interest at a rate of 1.05^t, where t is the number of years. If you invest $1,000, how much will you have after 5 years?

• 1000.00

• 1276.28

• 1500.00

• 1200.50

A light bulb's brightness is measured in lumens, and a certain bulb emits 10^3 lumens. How many lumens does the bulb emit?

• 1000 lumens

• 250 lumens

• 1500 lumens

• 500 lumens