# Find the associated exponential decay or growth model. (Round all coefficients to three significant digits.) Q = 3,000 when t = 0, doubling time = 7 Q =?

Find the associated exponential decay or growth model. (Round all coefficients to three significant digits.) Q = 3,000 when t = 0, doubling time = 7 Q =?
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Ayesha Gomez

It is given in the question that "doubling time". Thus, it will be exponential growth.
Express the mathematical form for the exponential growth model.
$Q\left(t\right)={Q}_{0}{e}^{-kt}$Here, k is the ratio of $ln2$ to doubling time and ${Q}_{0}$ is the Q at time equal to zero
Calculate the value of k.

$=\frac{\mathrm{ln}2}{7}$
=0.099
Then,the associated exponential model is
$Q\left(t\right)=3000{e}^{-0.099t}$