Model the data using an exponential function f(x) = Abx X=0,1,2 F(x)= 400,120,36

Mathematics
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f(x)=?

Sep 24th, 2015

Thank you for the opportunity to help you with your question!

ok I think this is what you want

F(x)= K. a^x  and you want to find a and K in a way that if x=0,1,2 then F(x) is 400,120,36

so

for x=0 you have K(a)^0=400 since K(a)^0 =K then we have K=400

for x=1 you have K(a)^1=120 since K=400 then we have 400.a=120 so a=120/400=0.3

then F(x)= 400.(0.3)^x

for x=2 we just test our F(x) so 400(0.3)^2=400 x 0.3 x 0.3= 36

Best

Shirin

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 24th, 2015

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