Mastering Exponential Equations and Graphs in Real Life

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

• 2000

• 8000

• 4000

• 10000

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

• $5,000

• $10,000

• $7,680

• $12,000

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 5 years? Graph the growth of your investment over time.

• $1,000.00

• $1,200.00

• $1,500.00

• $1,276.28

The half-life of a certain radioactive substance is 10 years. If you start with 80 grams, how much will remain after 30 years? Solve the exponential equation to find the remaining amount.

• 40 grams

• 5 grams

• 20 grams

• 10 grams

A certain species of fish in a lake grows exponentially. If the population is currently 200 and grows by 50% each year, how many fish will there be in 4 years? Graph the population growth over the years.

• 1013

• 600

• 800

• 1200

A smartphone's battery life decreases exponentially. If it starts with a full charge of 100%, and loses 10% of its charge every hour, how much charge will be left after 5 hours? Solve the equation to find the remaining charge.

• 70%

• 80%

• 59.05%

• 45%

A tree's height increases exponentially. If it is currently 2 meters tall and grows at a rate of 30% per year, what will its height be after 3 years? Graph the height of the tree over the years.

• 4.39 meters

• 5.20 meters

• 6.10 meters

• 3.00 meters

A certain investment grows according to the formula A = P(1 + r)^t. If you invest $2,000 at an interest rate of 4% for 6 years, how much will you have? Solve the equation to find the total amount.

• 3000.00

• 2530.64

• 2800.50

• 2400.00

A virus spreads exponentially. If there are 10 infected individuals and the number of infections doubles every day, how many will be infected after 5 days? Graph the number of infections over time.

• 640

• 320

• 500

• 150

A certain type of mold grows exponentially. If it starts with 100 spores and doubles every 2 days, how many spores will there be after 10 days? Solve the equation to find the total number of spores.

• 1600

• 2400

• 4000

• 3200