Hello,

let v be the value of the home

and the tax to be payed.

Then you have:

The graphs of these equations are straight lines. Calculate the intersection. The coordinates of the intersection are the value of the home which will cause the same tax no matter which bill you choose.

I've got v = 32,000 $ and t = 2,760 $

Because the slope of (B) is greater than the slope of (A) the 2nd bill will be much more expensive if v > 32,000 $. Thus (A) is better if the value of the house is greater than 32,000 $