Question

Find the exponential function y = Ce^kt that passes through the two given points
(0,4),(5,1/2)

Answer 1

plug points into equation ... solve system of 2 equ for C and k

Answer 2

\[4 = C e^{0k}\]
\[5 = C e^{k/2}\]

e^0 = 1 , therefore C = 4
\[\rightarrow 5 = 4e^{k/2}\]

Answer 3

can you solve for k?

Answer 4

i have already set it up like you did but got confuse, i solve for k but still get the answer wrong

Answer 5

what did you get for k?

Answer 6

it may be correct but they want it entered in different form

Answer 7

\[e^{\ln x} = x\]
so since k is log of something, the log will be cancelled out because it is power of "e"

Answer 8

thanks

Answer 9

yw
anyway
\[y = 4 (\frac{25}{16})^{t}\]