Precalculus word problem help

[VP1]

Hello, I could use some help with this word problem.
The question is-

A city council is proposing a new skyline ordinance. It would require the setback S for any building from a residence to be a minimum of 100 feet, plus an additional 6 feet for each foot of height above 25 feet. Find a linear function for S in terms of h.

What I'm attempting to do is make a table that coorelates the height, h, to the setback s. It looks something like this I think.

___H________I_____S_____
25 feet......................100
25+1.........................100+6
25+2.........................100+(2)6

I think I'm on the right track but could use help as far as where to go from here.

Any help is appreciated.
Thanks

 

[galactus]

One way to look at it:

\(\displaystyle S=\left\{\begin{array}{cc}100+6(h-25), \;\ h\geq 25\\ 100, \;\ h<25\end{array}\)

 

[VP1]

Thanks much, it is clear now what I needed to do