Question : A primary root grows from 5 cm to 19 cm in a week. Calculate the growth rate and relative growth rate over the period.

Question : A primary root grows from 5 cm to 19 cm in a week. Calculat

1.	Question : A primary root grows from 5 cm to 19 cm in a week. Calculate the growth rate and relative growth rate over the period.
Answer» Solution :Growth is DEPENDENT on three factors - initial size `(W_(0))`, rate of growth (r) and time interval `(+)` for which the rate of growth is retained., Where, `therefore""W_(1)=W_(0)E^(rt)""W_(1)="Final size,"` `W_(0)="Initial size,"` r = Growth rate, t =Time, e = Base of natural logarithm. `19=5xx(2.7)^(rxx7)=(2.7)^(r)xx7` `therefore""3.8=(2.7)^(rxx7)` `log 3.8 xxr xx7xxlog(2.7)` `0.5798=rxx7xx0.4314` `0.5798=r=0.1907` `bar(7xx0.4314)` `"RELATIVE growth rate"=("Growth in givenperiod")/("MEASUREMENT at start of time PERIOD")` `=(19)/(5)=3.8 cm` Thus absolute growth rate is 0.1907 while relative growth rate is 3.8 cm.