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you know if \(t=9\) you have half of what you started with
set
\[e^{9k}=.5\] and solve for \(k\)

you got this? solve in two steps only

how do you solve for k?

1) write in equivalent logarithmic form (take the log)
2) divide by 9

\[e^{9k}=.5\iff 9k=\ln(.5)\iff k=\frac{\ln(.5)}{9}\]

then if you want a decimal, use a calculator

i have no idea what that means haha. so is it:
k= .1831?

no

wait is ln the button on the calculator for e?

oh, the link helped. sorry we didn't learn this yet so I have no idea what im talking about

so the rate is
k= -7.7 x 10 ^-2