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.