Question

A house with an assessed value of $480,000 has a property tax of $5,760. Determine the property tax on a house with an assessed value of $600,000, assuming the same tax rate. Use a proportion.

Answer 1

Given that,

A house with an assessed value of $480,000 has a property tax of $5,760.

To determine the property tax on a house with an assessed value of $600,000 (assuming the same tax rate),

Since the assessed value increases, property tax is also increase, it is direct variation.

Let x be the property tax on a house with an assessed value of $600,000,

Using the definition of direct variation we get,

`(480,000)/(5,760)=(600,000)/(x)`

Solving for x,

`x=600,000*(5,760)/(480,000)`
`x=7,200`

We get,

The property tax on a house with an assessed value of $600,000 is 7200 dollars.

Answer is: $7200.