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Percent change from 1998 to 2001.

1. How did the rate of crimes change from 1998 to 1999?

1. It increased by 4.5 percent.
2. It decreased by 4.5 percent.
3. It increased by 16 percent.
4. It decreased by 16 percent.
5. There isn’t enough data to answer the question.

The best answer is D.

We are asked how did the rate of crimes change. We can easily see from the graph that there was a decrease in the number of crimes and also in the rate of crimes and therefore answers A and C are disqualified.

Between the years 1998 and 1999, there was a decrease of 16 percent per 1,000 people; this data is sufficient to determine that in general there was a decrease of 16%.

2. If there were 2 million crimes in 1998, how many crimes were recorded in 1999?

1. 2,090,000.
2. 2,900,000.
3. 1,910,000.
4. 1,750,000.
5. 1,150,000.

The best answer is C.

First of all, you can eliminate answers A and B since there was a decrease in the rate of crimes from the year 1998 to 1999.

From the graph we can conclude that there was a 4.5 percent decrease in the rate of crimes relative to 1998, in other words, (0.045 x 2,000,000 = 90,000) is the decrease in the number of crimes. (2,000,000 – 90,000 = 1,910,000) crimes.

3. By what percent approximately did the number of crimes decreased from 2000 to 2001?

1. 4.5%.
2. 6%.
3. 6.6%.
4. 7.8%
5. 8%.

The best answer is C.

Pay attention, the answer is not B. Let 1000 be the number of crimes in the year 1998.

In the year 2000, there were 9% less crimes, which is 910 crimes.

In the year 2001, there were 15% less crimes, which is 850 crimes.

There was a decrease in 60 crimes between the years 2000 and 2001.

In percent terms, that number is 60/910, which is approximately a little over 6.5% and therefore the answer is C.

4. To the nearest percent, by what percent did the population of New York increase from 1998 to 2001?

1. 5%.
2. 8%.
3. 13%.
4. 17%.
5. 22%.

The best answer is

Assume that in 1998 there were 1000 people and 100 crimes are recorded.

In 2001, the crimes recorded decreased by 15% to 85 crimes, also the crime rate per 1,000 residents decreased by 25% to 75 crimes per 1,000 residents.

Let N be the number of new residents in New York.

Solve to equation: . That is an increase in approximately 13%.