Hello, viet!

The count in a bacteria culture was 900 after 10 minutes and 1400 after 35 minutes.

(a) What was the initial size of the culture?

(b) What is the doubling period?

(c) What is the population after 110 minutes?

(d) When will the population reach 15000?

We assume an exponential growth function: .

. . and determine and from the given data.

. .

Divide (2) by (1): .

. . Hence: .

Substitute into (1): .

The function is: .

(a) When

(b) If

. .

(c)

(d) for

. .