Question

A culture started with 2000 bacteria. After 4 hours, it grew to 2,200 bacteria. Predict how many bacteria will represent after 9 hours. Round your answer to the nearest whole number.

Answer 1

y=2000*$e^{k*t}$

2200=2000*$e^{k*4}$

$e^{k}= ( \frac{22}{20} )^{(1/4)}$

so,
 y at t=8 is  2000*($( \frac{22}{20} )^{(1/4)}$)^8
 y = 2000(22/20)^2=2000*1.21=2420 thats the answer i hope.