13 The rate of growth dP dt of a population of bacteria is proportional to k times the square root of t where P is the population growth and t is the time in days the days are between 0 and 10 inclusive The initial size of the population is 700 After 1 day the population has grown to 1000 What is the population after 5 days Round the answer to the nearest integer In the above k is the constant of proportionality That is dP dt is directly proportional to the square root of t that is dP dt k times the square root of t