Question

Problem 3a

Answer 1

Given information

Given the initial number of bacteria, culture is cells and grows at a rate proportional to its size and after an hour bacteria population became cells.

Express the number of bacteria after  hours

Step-by-step explanation

Step 1.

Let be the population of bacteria at time hours.

Given the initial number of bacteria culture is cells, that is     

Given that after an hour bacteria population became cells, that is  

Then, from the given information, the expression of the population is given by