$解:設(shè)會(huì)員卡的函數(shù)解析式為: y_2=ax+b,$
$代入(0,20)和(100,50)得:$
$ \left\{ \begin{array}{l}{b=20} \\ {100a+b=50} \end{array} \right.$
$解得: \left\{ \begin{array}{l}{a=\frac{3}{10}} \\ {b=20} \end{array} \right.$
$∴會(huì)員卡: y_2= \frac{3}{10}x+20(0≤x≤100)$
$設(shè)租書(shū)卡的函數(shù)解析式為: y_1=kx,代入(100,50)得:$
$100k=50 $
$解得:k= \frac{1}{2}$
$∴租書(shū)卡: y_1= \frac{1}{2}x(0≤x≤100)$