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)= ( (22)/(20) )^((1/4))`

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