Exponential Growth and Equations in Real Life Scenarios

A bacteria culture doubles in size every hour. If the culture starts with 5 bacteria, how many will there be after 4 hours?

• 40

• 80

• 100

• 20

A car's value decreases by 20% each year. If the car is worth $15,000 now, what will its value be after 3 years?

• $10,000

• $12,000

• $7,680

• $5,000

A tree grows 3 times its height every year. If it is currently 2 meters tall, how tall will it be after 2 years?

• 6 meters

• 9 meters

• 12 meters

• 18 meters

A computer's processing speed is 2^3 GHz. What is the processing speed in GHz?

• 8 GHz

• 4 GHz

• 2 GHz

• 16 GHz

If 2^x = 32, what is the value of x?

• 8

• 5

• 6

• 4

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

• 1600

• 3200

• 800

• 4000

A savings account earns interest at a rate of 5% compounded annually. If you start with $1,000, how much will you have after 2 years?

• 1102.50

• 1200.00

• 1150.00

• 1050.00

If 3^y = 81, what is the value of y?

• 6

• 4

• 2

• 5

A smartphone's battery lasts for 2^4 hours on a full charge. How many hours is that?

• 16 hours

• 12 hours

• 8 hours

• 20 hours

A video game character's health points double every level. If the character starts with 50 health points, how many will they have after reaching level 3?

• 100

• 150

• 200

• 250