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Sagot :
Answer:
$18,000
Explanation:
Let us represent the tax by y and the property value by x. If the tax is proportional to the property value, then the relationship between y and x is the following.
[tex]y=kx[/tex]where k is the constant of propotionality.
Now, to paraphrase, we are told that when y = $9,000, then x = $500,000. This means
[tex]9000=k(500,000)[/tex]and we need to solve for k.
Dividing both sides by 9000 gives
[tex]k=\frac{9,000}{500,000}[/tex]which simplifies to give
[tex]\boxed{k=\frac{9}{500}.}[/tex]With the value of k in hand, our formula now becomes
[tex]y=\frac{9}{500}x[/tex]We can now find the tax when x = 1,000,000.
Putting in x = 1,000,000 into the above formula gives
[tex]y=\frac{9}{500}(1,000,000)[/tex]which simplifies to give
[tex]\boxed{y=18,000.}[/tex]This means, the tax on a property assessed at $1,000,000 is $18,000.
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