The bacteria has an initial population of 2000 cells and increases at a rate of 40% per hour. use the exponential function to model the growth/decay of bacteria.

Here given, initial population of bacteria = 2000 cells

Also given, the population increases at a rate of 40% per hour.

As the population is increasing so we will use the formula for exponential growth. The formula is

Where, P = initial amount, r = growth rate, t = time, A = final amount.

So here, P = 2000, r = 40% = , t = time in hours

We will plug in the values in the formula. we will get,

We have got the required function to model the growth of the bacteria.

The required function is

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4