Question

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.

Answer 1

2000% x .4 will give you your answer! 

Answer 2

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 $A = Pe^{(rt)}$

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

So here, P = 2000, r = 40% = $\frac{40}{100} = 0.4$, t = time in hours

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

$A = 2000e^{(0.4t)}$

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

The required function is $A = 2000e^{(0.4t)}$