Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
BarlowGirl
Group Title
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! =)
 2 years ago
 2 years ago
BarlowGirl Group Title
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! =)
 2 years ago
 2 years ago

This Question is Closed

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

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

BarlowGirl Group TitleBest ResponseYou've already chosen the best response.0
Sure, let me give an example . . . .
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
alright
 2 years ago

BarlowGirl Group TitleBest ResponseYou've already chosen the best response.0
dw:1338949389152:dw
 2 years ago

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

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

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
When 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
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
When 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
 2 years ago

BarlowGirl Group TitleBest ResponseYou've already chosen the best response.0
Okay, I'm following.
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
Now 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
 2 years ago

BarlowGirl Group TitleBest ResponseYou've already chosen the best response.0
Okay, I think I understand. Thank you very much  you've been so helpful! :)
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
you're welcome, I'm glad I could help
 2 years ago
See more questions >>>
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.