Question

In Atlanta, the tax on a property assessed at $860,000 is $18,060. If tax rates are proportional in this city, how much would the tax be on a property assessed at $990,000?

Answer 1

Let us call x the amount of tax assessed at $990,000. We are told that the tax rates are proportional in the city, meaning the ratio of the tax to the property value is always the same.

Now, the ratio of the tax to the property value is

`(18,060)/(860,000)`

And the ratio of the tax amount x to the property value of $990,000 is

`(x)/(990,000)`

The two ratios must be equal because the tax rates are proportional in the city; therefore,

`(18,060)/(860,000)=(x)/(990,000)`

Cross multiplication gives

`(18,060)(990,000)=860,000x`

Solving for x gives

`x=20,790`

Hence, the amount of tax on a property assessed at $990,000 will be $20,790.n th