Answer:
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,
[tex]\frac{480,000}{5,760}=\frac{600,000}{x}[/tex]Solving for x,
[tex]x=600,000\times\frac{5,760}{480,000}[/tex][tex]x=7,200[/tex]We get,
The property tax on a house with an assessed value of $600,000 is 7200 dollars.
Answer is: $7200.