A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
PLEASE HELP!!!!!! URGENT!!!!
When there's a table of information, for two different variables (like f(x) and x), how do I find the constant ratio to determine if it's an exponential function?
Thank you SO much!  I really appreciate the help! =)
anonymous
 3 years ago
PLEASE HELP!!!!!! URGENT!!!! When there's a table of information, for two different variables (like f(x) and x), how do I find the constant ratio to determine if it's an exponential function? Thank you SO much!  I really appreciate the help! =)

This Question is Closed

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1Do you have a table to use as an example?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1If not, I can make one up if you want.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Sure, let me give an example . . . .

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1338949389152:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Note: I made this up, so it most definitely won't have a constant ratio.

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1If this was an exponential equation, then it would be of the form y = a*b^x where a and b are some constant numbers

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1When x = 1, y is y = 1. So y = a*b^x 1 = a*b^1 1 = a*b Now solve for b to get b = 1/a

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1When x = 6, y is y = 5 So y = a*b^x 5 = a*b^6 Now plug in b = 1/a to get 5 = a*(1/a)^6 5 = a/(a^6) 5 = 1/a^5 5a^5 = 1 a^5 = 1/5 a = fifth root of 1/5 a = 0.72477 Since b = 1/a, we know that b = 1/a b = 1/0.72477 b = 1.3797 Therefore, if this was an exponential equation (it's probably not, but let's say it is), then the equation would be approximately y = 0.72477*1.3797^x

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1Now let's test another ordered pair. Let's test (8,4). Plug in x = 8 and y = 4 to get y = 0.72477*1.3797^x 4 = 0.72477*1.3797^4 4 = 0.72477*3.62358670182697 4 = 2.62626693388313 and we're way off So because of this, the table above is NOT modelling an exponential function

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, I think I understand. Thank you very much  you've been so helpful! :)

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1you're welcome, I'm glad I could help
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.