Exponential Growth & Logarithmic Comparison Quiz

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

• 6000

• 10000

• 8000

• 4000

A car's value decreases exponentially. If it is worth $20,000 now and loses 15% of its value each year, what will its value be after 5 years?

• $15,000.00

• $12,000.00

• $8,874.34

• $10,500.00

The pH scale is logarithmic. If a solution has a pH of 4, how many times more acidic is it compared to a solution with a pH of 7?

• 1

• 10000

• 10

• 1000

A certain investment grows exponentially at a rate of 8% per year. If you invest $1,000, how much will it be worth after 10 years?

• 2158.92

• 1800.50

• 2000.75

• 1500.00

The half-life of a radioactive substance is 5 years. If you start with 80 grams, how much will remain after 15 years?

• 5 grams

• 40 grams

• 20 grams

• 10 grams

A tree grows at a rate proportional to its current height. If a tree is 2 meters tall now, how tall will it be in 5 years if it grows at a rate of 10% per year?

• Approximately 3.30 meters

• Approximately 5.00 meters

• Approximately 4.00 meters

• Approximately 2.50 meters

The Richter scale measures the magnitude of earthquakes logarithmically. If an earthquake measures 6.0 on the Richter scale, how many times more powerful is it than one that measures 4.0?

• 50

• 10

• 200

• 100

A certain species of fish in a lake is growing exponentially. If the current population is 200 and it increases by 50% each year, what will the population be in 3 years?

• 300

• 675

• 450

• 500

A bank offers an account with a 5% interest rate compounded annually. If you deposit $1,500, how much will you have in the account after 8 years?

• $1,800.00

• $2,216.18

• $2,000.00

• $2,500.00

The formula for exponential growth is given by P(t) = P0 * e^(rt). If P0 = 100, r = 0.03, and t = 10, what is the population after 10 years?

• 135

• 120

• 150

• 100