Aculture started with 6,000 bacteria after 6 hours it grew to 7,200 bacteria predict how much it will grow in 17 hours

Step-by-step explanation:

To perform this calculation we must use the exponential growth formula

The exponential growth formula is

Where

A is the main coefficient and represents the initial population of bacteria

e is the base

k is the growth rate

t is time in hours.

Let's call t = 0 to the initial hour.

At t = 0 the population of bacteria was 6000

Therefore we know that:

bacteria

After t = 6 hours, the population of bacteria was 7200

Then .

Now we use this data to find the variables a, and k.

.

Then:

Finally the function is:

After 17 hours:

So the population of bacteria after t=17 hours is:

r=0.03

A=9,991.7

Step-by-step explanation:

We will use the following formula to find the rate of growth:

Here,

r=0.03

Now we will predict how many bacteria will be present after 17 hours using the same formula:

A=9,991.7

b) 36

step-by-step explanation:

18 times 2 is 36