Intro to Exponential Growth
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- (Video) Exponential Growth and Decay by ThinkwellVids Here's a great video by ThinkwellVids showing you how to solve a problem involving exponential growth. Summary\large{\text{…
By Alex Federspiel, Liza Sulkin, Amy Feraco, Anusha Rahman
- (Video) Exponential Growth Application by GVSUmath In this video by GVSUmath the concept of exponential growth is explained.
By Stefan Cuevas, Alex Federspiel
- (Video) Exponential Growth by mathman1024 Here's a video by mathman1024 talking about growth and decay. Summary\large{\text{Summary}}Summary Both growth and decay can be represe…
By Alex Federspiel, Amy Feraco, Anusha Rahman
- Exponential Growth Bacteria are one of the most common ways to look at exponential growth. If your population is larger, then the rate of increase or growth should be increasing…
By Amy Feraco, Anusha Rahman
- Exponential Growth We see exponential growth in a lot of different industries, including biology, economics, and math! We use the following formula to calculate exponential grow…
By Anusha Rahman
Problems 28
- A group of bacteria was observed to be at 130013001300 and grow at a rate of about 3.52%3.52\%3.52% per day. What is an equation for the bacteria's growth? How long will it take…
- A species of fish has an extremely long lifespan and rarely have children. If there are a total of 930930930 of this type of fish and their growth rate is 8.3%8.3\%8.3% each mon…
- A type of bacteria has a very high exponential growth rate of 76%76\%76% every hour. If there are 101010 bacteria, determine how many there will be in half a day. How long until…
- An island was recorded to have a population of 100100100 after 222 years. Then, after 666 years, it was recorded to have a population of 810081008100. Find the equation that rep…
- An unknown amount of money is put into a bank account that is compounded annually. After 111 year you have 250\250250. After 999 years you have 8000\80008000. What is the amount…
- A test you are taking has twenty-four multiple choice questions, each with answers AAA, BBB, CCC, and DDD. How many possible solution sets are there for this test?
- A colony of bunny rabbits grows exponentially. Suppose that in 201220122012, there are 400400400 bunny rabbits, and in 201620162016, there are 640064006400 bunny rabbits. How ma…
- There were approximately 333 billion people on Earth in 196019601960, and approximately 666 billion people on Earth in 199919991999. Assuming that the population growth is expon…
- Dr. Smith is graphing the growth of a new, small frog population over time. Since the frogs are just colonizing the area, the size of the population grows exponentially in the b…
- Exponential functions of the form f(t)=P0ektf(t)=P_{0}e^{kt}f(t)=P0ekt exhibit exponential growth for which values of kkk?
- Exponential functions of the form f(x)=P0axf(x)=P_{0}a^{x}f(x)=P0ax exhibit exponential growth for which values of aaa?
- A species of bacteria grows at a rate of 25%25\%25% per day. If we start with 0.50.50.5 grams of bacteria, how many grams will we have after one week?
- A species of bacteria grows at a rate of 30%30\%30% per day. If we start with 555 grams of bacteria, how many grams will we have after one week?
- In 197019701970, there were 3.73.73.7 million people on earth. If the annual growth rate was 2%2\%2% at the time, how many people were there in 197219721972?
- In 198019801980, there were 4.54.54.5 million people on Planet X. If the growth rate was 1.78%1.78\%1.78%, how many people were there in 198319831983?
- In 200020002000, there were 666 million people on Planet X, and in 201220122012, there were 777 million people on Planet X. Calculate the growth rate per year from these figures.
- A scientist is conducting an experiment to find the growth rate of a species of bacteria. She starts with 101010 bacteria and after 666 hours, she finds that the population has …
- A scientist is conducting an experiment to find the growth rate of a species of bacteria. She starts with 151515 bacteria and after 121212 hours, she finds that the population h…
- A scientist is conducting an experiment involving bacteria in a petri dish. She already knows that the growth rate of this type of bacteria is 81%81\%81% per hour. After a half …
- In 1950, there were 2.5 million people on earth. If the growth rate was 1.7%, how many people were there in 1960?
- Suppose Sudan finds his soulmate on Tinder. She loves long walks in the meadows, and other rhino activities. Furthermore, assume a rhino only gives birth once a year. How many y…
- Unknown to you, it is What You Think Upon Grows Day. You're in class thinking about your Labrador puppy, Dr. Pupper, who's a foot tall. This class is pretty simple so you spend …
- Darth Vader wants to build the Death Star, but only has 1\11. He uses the Force to convince his local bank to double his money every day. Unfortunately, the Death Star costs app…
- ESPN's website says that it only takes 555 minutes to fill out a bracket form. About how long would it take to fill out enough bracket forms to guarantee a win of Buffett's priz…
- You want the codes to be as short as possible. How short can your codes be while still being able to uniquely cover 100,000100,000100,000 different words?
- Haharvard University is known for its work in fighting infectious diseases. A new disease, ROFLitis, has recently plagued the country and Haharvard is working to create a vaccin…
- You win the lottery! You get 1 dollar and every day after that, you get double the previous day. After nnn days, how much money will you have?
- Which of the following points will always appear on an exponentially growing function of the form f(x)=axf(x)=a^xf(x)=ax (where aaa is some positive constant greater than 111)? …