The running time $T_A(N)$ of algorithm $A$ is proportional to $N$ whereas the running time $T_B(N)$ of algorithm $B$ is proportional to $N^2.$

If the value of $T_A(5)$ is $50$ and the value of $T_B(5)$ is $50,$ what are the values of $T_A(100)$ and $T_B(100)?$

$T_{A(100)}=500$ and $T_B(100)=1,000$

$T_A(100)=1,000$ and $T_B(100)=1,000$

$T_A(100)=1,000$ and $T_B(100)=20,000$

none of the others

$T_A(100)=1,000$ and $T_B(100)=500$