The population

Question:

The population $p(t)$ at time $t$ of a certain mouse species satisfies the differential equation $\frac{\mathrm{dp}(\mathrm{t})}{\mathrm{dt}}$ $=0.5 \mathrm{p}(\mathrm{t})-450$. If $\mathrm{p}(0)=850$, then the time at which the population becomes zero is :

  1. $\ln 18$

  2. $2 \ln 18$

  3. $\ln 9$

  4. $\frac{1}{2} \ln 18$


Correct Option: , 2

Solution:

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