Question

the property tax in a certain country varies directly as assessed valuation. If a tax of $1,590 is charged on a single-family home assessed at $81,000, determine the property tax on an apartment complex assessed at $237,600.

Answer 1

$4,664

Step-by-step explanation:

If the property tab varies directly as assessed valuation, the ratio of the tax to the assessed valuation is constant, so we can formulate the following equation:

`\frac{tax}{\text{valuation}}=\frac{\text{ \$1590}}{\text{ \$81000}}=\frac{x}{\text{ \$237600}}`

Where x is the property tax of the apartment complex. So, we can solve for x as follows:

`\begin{gathered} \frac{\text{ \$1590}}{\text{ \$81000}}=\frac{x}{\text{ \$237600}} \\ \frac{\text{ \$1590}}{\text{ \$81000}}*\text{ \$237600}=\frac{x}{\text{ \$237600}}*\text{ \$237600} \\ \text{ \$4664 = x} \end{gathered}`

Therefore, the property tax is $4,664.