# What is the definition of exponential growth?

Exponential growth/decay is the process in which a quantity increases/decays by an increasing fraction/excess of itself over time.

Don't use plagiarized sources. Get Your Custom Essay on
What is the definition of exponential growth?
Just from \$13/Page

The model of this is ##x##(sub n) = ##x(1+r)^n##, where ##r## is the rate of growth or decay (negative if decay, positive if growth), ##x## is the initial value, ##n## is what entry you are on, and ##x##(sub n) is the entry that you are on’s value. As you can see, if ##r < 0##, the rate is becoming increasingly fractional, and if ##r## is positive, the value is increasing.

This is best taught with an example. Lets say that you are being pushed on a swing. Every swing after you stop being pushed you are decelerated by the air resistance. Hypothetically, after a second, you are be 90% as fast, after 2 seconds you are 90 percent of your speed after the 1st push, et cedera. Here, the ratio ##r## is ##-10%##, and hence we can model the speed of you at any time with ##x##(sub n)##=x(.9)^n##, where we can just place n in for how many swings have been completed, and find your speed.

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.