<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Skip Navigation
We experienced a service interruption from 9:00 AM to 10:00 AM. PT. We apologize for any inconvenience this may have caused. (Posted: Tuesday 02/21/2017)

Applications of Exponential Functions

Word problems with variables as exponents

Atoms Practice
Estimated27 minsto complete
Practice Applications of Exponential Functions
This indicates how strong in your memory this concept is
Estimated27 minsto complete
Practice Now
Turn In
Please, Sir, May I Have Some Moore?

Credit: Steve Jurvetson
Source: http://www.flickr.com/photos/jurvetson/7515248418/
License: CC BY-NC 3.0

The first computers took up entire rooms. They spent hours doing simple calculations. Yet they had less computing power than the typical smartphone has today. In less than 50 years, we’ve created devices that make the science fiction of the past look shortsighted. How did computers change so quickly?

Moore, Better, Faster

In the 1960s, an engineer named Gordon Moore noticed that microchips were improving at a phenomenal rate. He predicted that the number of transistors that scientists could fit on a silicon chip would double every two years—an exponential function! By fitting more processing power onto each chip, engineers could create faster, smaller, more versatile computers every two years. Moore’s law predicted that these increases would continue at an exponential rate. As technology has improved, computers have become not only faster but also less expensive. In 1977, an Apple II computer cost $2,638. It had 48 kilobytes (kB) of RAM, and its processer ran at speeds of 1 Megahertz (MHz). Today, the iPhone 5 sells for $150 dollars with a cell phone plan. It has 1016 megabytes (MB) of RAM and a processor that runs at 1300 MHz, which makes it 1,300 times faster than the early Apple computers and capable of storing more than 20,000 times the memory. It also costs less than 6% of the original price, even if inflation is ignored. You have more computing power in your mobile device than scientists of the 80s had in their labs.

Credit: Blake Patterson
Source: http://www.flickr.com/photos/35448539@N00/4773693893
License: CC BY-NC 3.0

Engineers predict that we’ll soon reach the limits of Moore’s law. Right now, engineers can create transistors that measure 14-22 nanometers (nm) across. By 2020, they’ll have reached the 5-7 nm range. After that, it will likely become too expensive to develop smaller transistors, and the exponential increases will stop.

See for yourself: http://www.intel.com/content/www/us/en/company-overview/future-enabled-by-moores-law-video.html

Explore More

Watch the videos below to learn about the "end" of Moore's law and find out what may lie beyond.




    Notes/Highlights Having trouble? Report an issue.

    Color Highlighted Text Notes
    Please to create your own Highlights / Notes
    Show More

    Image Attributions

    1. [1]^ Credit: Steve Jurvetson; Source: http://www.flickr.com/photos/jurvetson/7515248418/; License: CC BY-NC 3.0
    2. [2]^ Credit: Blake Patterson; Source: http://www.flickr.com/photos/35448539@N00/4773693893; License: CC BY-NC 3.0

    Explore More

    Sign in to explore more, including practice questions and solutions for Applications of Exponential Functions.
    Please wait...
    Please wait...
    Add Note
    Please to create your own Highlights / Notes