2. matematično tekmovanje dijakov srednjih tehniških in strokovnih šol
A family of lynxes is introduced into a zoo. The number of lynxes $N$ after $t$ years $(t \geq 0)$ is given by the function $N=10 \cdot e^{\frac{2}{5} t}$.
a) How many lynxes are in the family at the time of introduction?
b) How many years would the zoo need for the lynx family to number 100 members? Round the result to the nearest whole number.
Write the answers.