Aculture started with 2000 bacteria. after 4 hours, it grew to 2600 bacteria. predict how many bacteria will be present after 17 hours

Step-by-step explanation:

We must use the exponential growth formula:

Where

P is the population of bacteria as a function of time

b is the initial population of bacteria.

r is the growth rate

t is the time in hours

We know that the initial amount of bacteria is 2000. Then

Then

After t = 4 hours the population P was 2600. Then we substitute these values in the equation and solve for r.

Now we can write the equation for this problem as:

For t = 17 hours the amount of bacteria will be:

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