Question

The property taxes in a town decrease as the distance from the local elementary school increases. The greatest property taxes are 4.5\%4.5%4, point, 5, percent, and for every 101010 miles from the school, property taxes decrease by 0.50.50, point, 5 percentage points. If a house's property taxes are 3\%3%3, percent, what is the distance of that house from the school?

Answer 1

To solve this question, we will need the help of the picture attached:

1. According to this, every 101010 miles from the elementary school (Assuming the school is in point 0 of the line) the property taxes decrease 0.5%.

2. We also know that the greatest value in property taxes is 4.5%, and this decreases every 101010 miles.

So, if we draw a line divided in sections of 101010 miles and taking into account the data given, we have to sum each 101010 miles section until we get to the property tax value of the house, which is 3% in this problem.

Then, the distance from the school to the house, taking into account the 0.5% decrease with the distance is:

303030 miles