Real-Life Exponents: Growth, Decay, and Graphs

A bacteria culture doubles in size every 3 hours. If the initial size is 100 bacteria, how many bacteria will there be after 12 hours?

• 1600

• 400

• 800

• 3200

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

• $15,000

• $8,000

• $12,500

• $10,240

The population of a town is 5,000 and is expected to grow by 10% each year. What will the population be after 5 years?

• 7500

• 9000

• 8053

• 6000

A certain investment grows at a rate of 5% per year. If you invest $1,000, how much will it be worth after 10 years?

• 1200.50

• 2000.00

• 1628.89

• 1500.00

A tree grows at a rate of 2 times its height every year. If it starts at 1 meter tall, how tall will it be after 4 years?

• 8 meters

• 4 meters

• 16 meters

• 32 meters

Convert the expression 2^5 into its numerical form. What is the value?

• 25

• 32

• 16

• 64

If you graph the function y = 3^x, what is the value of y when x = 4?

• 81

• 27

• 100

• 64

A certain species of fish triples in population every year. If there are currently 50 fish, how many will there be in 3 years?

• 1500

• 600

• 1000

• 1350

Convert the expression 81 as a power of 3. What is the exponent?

• 6

• 3

• 5

• 4

If a savings account earns 6% interest compounded annually, how much will $500 grow to after 5 years?

• 669.11

• 500.00

• 600.00

• 750.00