Given two functions f$($n$)=100$n and g$($n$)=$ n$^2,$ which of the following is true?

a$)$ f$($n$)$ grows faster than g$($n$).$

b$)$ g$($n$)$ grows faster than f$($n$).$

c$)$ Both grow at the same rate.

d$)$ There is not enough information to determine.