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In Washington, D.C., the tax on a property assessed at \[tex]$860,000 is \$[/tex]15,480. If tax rates are proportional in this city, how much would the tax be on a property assessed at \[tex]$850,000?

Choose the proportion you would use to solve the problem:

A. \(\frac{15480}{850000} = \frac{x}{860000}\)

B. \(\frac{15480}{860000} = \frac{x}{850000}\)

C. \(\frac{x}{15480} = \frac{860000}{850000}\)

D. \(\frac{860000}{15480} = \frac{x}{850000}\)

The taxes would be \$[/tex][tex]\(\boxed{}\)[/tex]

Sagot :

GinnyAnswer
To solve the problem, we need to use the information given to find the tax on a property assessed at [tex]$850,000$[/tex], given that the property tax on a property assessed at [tex]$860,000$[/tex] is [tex]$15,480$[/tex]. Additionally, we know that the tax rates are proportional.

The correct proportion to use is:
[tex]\[ \frac{15480}{860000} = \frac{x}{850000} \][/tex]

We will solve this proportion step by step:

1. Set up the equation:
[tex]\[ \frac{15480}{860000} = \frac{x}{850000} \][/tex]

2. Cross-multiply to solve for [tex]\( x \)[/tex]:
[tex]\[ 15480 \times 850000 = x \times 860000 \][/tex]

3. Simplify the multiplication:
[tex]\[ 15480 \times 850000 = 13158000000 \][/tex]

4. Divide the product by 860000 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{13158000000}{860000} \][/tex]

5. Perform the division:
[tex]\[ x \approx 15299.999999999998 \][/tex]

So, the tax on a property assessed at [tex]$850,000 would be approximately $[/tex]15,300.
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