ExplanationWe start with 1990 to 1995. According to the graph, City B suffered a 15% decrease in this time frame. Knowing the tax revenue in 1990 was 800,000, you can find the tax revenue in 1995 (x) using the percent change formula:

Decrease = Original number - New number

Decrease = 800,000 - x

\(Percent change = decrease \div original number \times 100\)

\(15 = (800,00 - x) \div 800,000 \times 100\).

\(\frac{15}{100} = (800,00 - x) \div 800,000\)

\(\frac{(800,000)(15)}{100} = 800,00 - x\)

\(120,000 = 800,00 - x\)

\(-680,000 = -x\)

\(680,000 = x\)

This value, 680,000, is the annual tax revenue in 1995. It experienced a 15% decrease and fell from 800,000 in 1990 to 680,000 in 1995.

Now we need to find the annual tax revenue in 2000. According to the graph, City B experienced a 15% increase from 1995 (680,000) to 2000 (?). Again, use the percent change formula:

Increase = New number – Original number

Increase = y - 680,000

\(Percent change = increase \div original number \times 100\)

\(15 = (y - 680,000) \div 680,000 \times 100\)

\(\frac{15}{100} = (y - 680,000) \div 680,000\)

\(\frac{(680,000)(15)}{100}= y - 680,000\)

\(102,000 = y - 680,000\)

\(782,000 = y\)

This value, 782,000, is the annual tax revenue in 2000. It experienced a 15% increase and raised from 680,000 in 1995 to 782,000 in 2000.

Hence option C is correct.
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Sandy

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