The size of poulation after hours is .

Poplulation after hours is .

Population after hours is .

(a)

Find the relative growth rate.

Write down the population size as and time between two samples is hours.

Substitute and and in the above equation.

The growth rate in percentage is %.

(b)

Find Initial size of culture  .

Write down the population size as and time between two samples is hours.

Substitute ,   and in the above equation.

Initial size of culture is .

(c)

Expression for Population of bacteria after  hours is  .

Substitute and in the above equation.

Expression for population of bacteria after  hours is .

(d)

Find the number of cells after hours.

 The equation is

Substitute   and and in the above equation .

.

The number of cells after hours is .

(e).

Rate of growth after hrs.

Rate of change of growth : .

Substitute and  in the above equation.

.

Rate of change of growth of the bacteria is .

(f)

Find the time when the population reaches .

Substitute , and in the equation .

hours.

The time when the population reaches is hours.

(a) The growth rate in percentage is %.

(b) Initial size of culture is .

(c) Expression for population of bacteria after  hours is .

(d) The number of cells after hours is .

(e) Rate of change of growth of the bacteria is .

(f) The time when the population reaches is hours.