1 / 17

Applications of Exponential Functions

Applications of Exponential Functions. THE GENERAL EXPONENTIAL FUNCTION. y = amount after a certain time c = initial amount a = growth factor t = time n = time it takes for a growth factor of “a”. EXAMPLE 1: Doubling time.

blaine
Download Presentation

Applications of Exponential Functions

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. Applications of Exponential Functions

  2. THE GENERAL EXPONENTIAL FUNCTION • y = amount after a certain time • c = initial amount • a = growth factor • t = time • n = time it takes for a growth factor of “a”

  3. EXAMPLE 1: Doubling time • A bacteria culture starts out with 200 bacteria. It doubles every 5 hours. a) Fill in the table of values:

  4. EXAMPLE 1: Doubling time • A bacteria culture starts out with 300 bacteria. It doubles every 5 hours. a) Fill in the table of values:

  5. Sketch the function:

  6. EXAMPLE 1: Doubling time • A bacteria culture starts out with 300 bacteria. It doubles every 5 hours. • c) State the equation of N with respect to t.

  7. EXAMPLE 1: Doubling time • A bacteria culture starts out with 300 bacteria. It doubles every 5 hours. • d) Find the number of bacteria after 19 hours.

  8. EXAMPLE 2: Half Life(the amount of time it takes for a mass to become half of what it was originally) • Living organisms contain radioactive carbon-14, which has a half-life of 5730 years once the organism dies. A 100g sample of a tree is studied. a) Fill in the table of values:

  9. EXAMPLE 2: Half-life a) Fill in the table of values:

  10. Sketch the function:

  11. EXAMPLE 2: Half-life • c) State the equation of m with respect to t.

  12. EXAMPLE 2: Half-life • d) Find the mass after 10000 hours

  13. EXAMPLE 3:Value of a sports car • SpongeBob buys a Ferrari for $20,000. It appreciates at 7% per year. a) Fill in the table of values:

  14. EXAMPLE 3:Value of a sports car a) Fill in the table of values:

  15. Sketch the function:

  16. EXAMPLE 3:Value of a sports car • c) State the equation of V(value) with respect to time t.

  17. EXAMPLE 3:Value of a sports car • d) Find the value after 25 years

More Related