Exploring Exponential Growth & Logarithmic Scales

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

• 2000

• 10000

• 4000

• 8000

Tags

CCSS.HSF.LE.A.4

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

• $10,440.12

• $15,000.00

• $8,500.00

• $12,000.00

Tags

CCSS.HSF.BF.A.2

A certain investment grows exponentially 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

• 1500.00

• 1628.89

The pH scale is logarithmic. If a solution has a pH of 3, how many times more acidic is it compared to a solution with a pH of 6?

• 10 times more acidic

• 10000 times more acidic

• 100 times more acidic

• 1000 times more acidic

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, what will its height be after 5 years?

• 3.22 meters

• 2.00 meters

• 4.00 meters

• 5.00 meters

Tags

CCSS.HSF.BF.A.2

The population of a city is modeled by the function P(t) = 50,000e^(0.03t), where t is the number of years since 2000. What will the population be in 2025?

• 95000

• 120000

• 80000

• 105850

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

• 40 grams

• 5 grams

• 20 grams

• 10 grams

Tags

CCSS.HSF.LE.A.4

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

• 10 times more powerful

• 100 times more powerful

• 200 times more powerful

• 50 times more powerful

A bank offers a savings account with an annual interest rate of 4%, compounded annually. How much money will you have in the account after 3 years if you deposit $1,200?

• $1,349.84

• $1,500.00

• $1,200.00

• $1,100.00

The formula for exponential growth is given by A = Pe^(rt). If you have an initial amount of $500, a growth rate of 6%, and you want to find the amount after 8 years, what is A?

• 600

• 808

• 750

• 900