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 1 0 1010 miles from the school, property taxes decrease by 0 . 5 0.50, 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

The house is 30 miles from the school.

4.5 - 3 = 1.5% less property taxes.

1.5/0.5 = 3 10-mile increments = 3*10 = 30 miles.

Answer 2

We have been given that the property taxes in a town decrease as the distance from the local elementary school increases. The greatest property taxes are 4.5 percent, and for every 10 miles from the school property taxes decrease by 0.5 percent.

We are asked to find out distance of a house from the school if house's property taxes are 3 percent.

Let house be x miles away from elementary school. Now we will represent our given information into an equation.

`x=10\cdot (4.5-3)/(0.5)\\ \\ x=10\cdot (1.5)/(0.5)\text{ miles}\\ \\ x=10\cdot 3 =30\text{ miles}`

Therefore, house with 3 percent of property tax is 30 miles away from elementary school.