Abacteria culture starts with 200 bacteria and grows at a rate proportional to its size. after 6 hours there will be 1200 bacteria (1) express the population after i hours as a function of t. population: p(tepe (1.066-21) (unction of t) (b) what will be the population after 7 hours? 348125.2 (c) how long will it take for the population to reach 1750 ? note: you can earn partial credit on this problem.

We are given that the rate of change is proportional to its size S

So,

Integrating both sides

S is the population after t hours

is the initial population

Now we are given that After 6 hours there will be 1200 bacteria

So,

a)Now the population after t hours as a function of t;

b)  What will be the population after 7 hours?

Substitute t = 7 hours

A bacteria culture starts with 200 bacteria

c) How long will it take for the population to reach 1750 ?

So,  it will take 7.2 hours for the population to reach 1750

(-1,-0.5)

step-by-step explanation: