MHB Given a logistic function, calculate the constant

[docbrown1]

Please help!

f(t)= (20)/ 1+Be^-1/2t

calculate the constant B if f(0)=5

 

[Jameson]

Please help!

f(t)= (20)/ 1+Be^-1/2t

calculate the constant B if f(0)=5

Hi docbrown, (Wave)

Welcome to MHB!

Is this the equation you wrote? $$f(t)=\frac{20}{1+Be^{-.5t}}$$

 

[docbrown1]

Hi docbrown, (Wave)

Welcome to MHB!

Is this the equation you wrote? $$f(t)=\frac{20}{1+Be^{-.5t}}$$

Yes!

 

[pickslides]

Is this your function?

$\displaystyle f(t)= \frac{20}{ 1+Be^\frac{-1}{2t}}$

 

[Jameson]

Ok, then what we need to do is plug in $t=0$ and $f(t)=5$. What does our equation become when we plug in those two values?

From there we need to simplify but that will come after the above part. :)

 

[docbrown1]

I was that easy! Thank you very much! B=3 ! :)

 

[Jameson]

I was that easy! Thank you very much! B=3 ! :)

Yep that looks correct. Well done. :)