Question

In Washington DC, the tax on a property assessed at $370,000 is $4,070. If tax rates are proportional in this city, how much would the tax be on a property assessed at $390,000?

Answer 1

ANSWER

$\ 4,290$

EXPLANATION

The ratio of the tax to the value of the property is constant.

Let the amount of tax on the property assessed at $390,000 be x.

This implies that:

$\frac{4,070}{370,000}=\frac{x}{390,000}$

Solving for x, we have that:

$\begin{gathered} 4,070\cdot390,000=x\cdot370,000 \\ \Rightarrow x=\frac{4,070\cdot390,000}{370,000} \\ x=\ 4,290 \end{gathered}$

That is the amount of tax on the property.