$[-/4$ Points$]$

MY NOTES

Larcanciza

The number of bacteria in a culture is increasing according to the law of exponential growth. There are $135$ bacteria in the carture after $2$ hour $425$ bacteria after $4$ hours.

$($a$)$ Find the initial population. $($Round your answer to the nearest whole number.$)$

$$ bacteria

$($b$)$ Write an exponential growth model for the bacteria population. Let $t$ represent the time in hours.

$y=$

$$ bacteria

$($d$)$ After how many hours will the bacteria count be $20,000?($Round your answer to two declmal places.$)$

$$ hr