Mastering Growth and Decay: Graphing Exponential Functions

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours?

• 4000

• 2000

• 10000

• 8000

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 4 years?

• $8,500.00

• $12,000.00

• $15,000.00

• $10,440.12

A certain investment grows at a rate of 8% per year. If you invest $1,000, how much will it be worth after 5 years?

• 1580.75

• 1469.33

• 1200.00

• 1350.50

The half-life of a radioactive substance is 10 years. If you start with 80 grams, how much will remain after 30 years?

• 5 grams

• 40 grams

• 20 grams

• 10 grams

A tree grows at a rate of 5% per year. If its current height is 10 feet, what will its height be after 3 years?

• 13.20 feet

• 9.75 feet

• 12.50 feet

• 11.58 feet

A certain species of fish in a lake is increasing exponentially. If there are currently 200 fish and the population triples every year, how many fish will there be in 2 years?

• 1200

• 1800

• 2400

• 600

A bank offers a savings account with a 6% annual interest rate compounded annually. If you deposit $500, how much will you have after 3 years?

• $575.00

• $600.00

• $550.25

• $595.51

A certain type of bacteria decreases in number by 25% every hour. If you start with 1,600 bacteria, how many will be left after 4 hours?

• 506

• 400

• 1200

• 800

A tree's height is modeled by the function h(t) = 15(1.1)^t, where t is the number of years. What will the height of the tree be after 5 years?

• 30.75

• 20.50

• 18.90

• 24.16

A population of rabbits is modeled by the function P(t) = 50e^(0.3t). How many rabbits will there be after 4 years?

• 200

• 120

• 166

• 75