Question 963970
{{{y=4*2^t}}}, exponential growth model.  t time in minutes; y population after any time t.   Note, t=1 makes double the population from one minute before.


"Jar completely filled" when t=10.  What y value is this?

{{{y=4*2^10}}}
{{{y=4096}}}.



What if 8 amoeba at t=0?  How much time to reach <s>y=<s>1024</s></s>  y=4096?
{{{8*2^t=4096}}}, -------------be sure you understand this step.


{{{2^t=4096/8}}}
{{{2^t=(2^12)/(2^3)}}}
{{{2^t=2^9}}}


The same base on both members, so the exponents must be equal.
{{{highlight(t=9)}}}