1 / 12

Exponential Growth vs. Exponential Decay

guthrie
Download Presentation

Exponential Growth vs. Exponential Decay

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

    1. Exponential Growth vs. Exponential Decay

    2. Exponential Growth vs. Decay

    3. Growth or Decay…Why?

    4. Exponential Decay The value of an IPOD decreases at 35% per year. This can be modeled by the function y = 500 · 0.65x Make a table of values to find the value of your IPOD for the domain {0,1,2,3,4,5,6,7,8, 9,10} Graph your function

    5. Decay Factor Calculating Decay Factor Identify the percent of decrease. Subtract the percent from 100% Change to a decimal.

    6. Find the decay factor that you would use if the percent decrease was…

    7. Exponential Decay Function Suppose the acreage of forest is decreasing by 2% per year because of development. If there are currently 4,500,000 acres of forest, determine the amount of forest land after 5 years.

    8. Radioactive Decay Problems Some unstable substances such as plutonium decay over time. To measure the rate at which they decay scientists refer to their “half life.” The half-life is the time it takes for half the initial amount of the substance to

    9. Model: Carbon Dating The radioactive element carbon-14 has a ½ live of 5750 years. The percentage of carbon 14 present in the remains of plants or animals can be used to determine their age. How old is a human bone that has lost 25% of its carbon 14?

    10. Model: Carbon Dating In the carbon dating problem we are not given the initial value, only that the ½ life is 5750 years. When we can’t determine the base b directly, we have to assign it a value and determine the k related to the base value. We will use e as the natural base value, since any base can be converted to any other base.

    11. Model: Carbon Dating Exponential model has form Use ½ life to find c.

    12. Homework Practice Quiz

More Related