The count in a bacteria culture was 10 after 15 minutes and 120 after 35 minutes. Assuming the count grows exponentially. Round your final answers to 2 decimal places.

• What was the initial size of the culture?

• Find the doubling period.

• Find the population after 70 minutes.

• When will the population reach 14000.

pretty sure 750 each month!

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

t

step-by-step explanation:

ever thing time 1 is a multiply by 1 it get