Population The table shows the populations of the New York City and Los Angeles metropolitan regions from the census reports for 1950 through 2000. Assuming these linear trends continue, when will the populations of these regions be equal? What will that population be?
1950 | 1960 | 1970 | 1980 | 1990 | 2000 | |
---|---|---|---|---|---|---|
New York City | 12,911,994 | 14,759,429 | 16,178,700 | 16,121,297 | 18,087,251 | 21,199,865 |
Los Angeles | 4,367,911 | 6,742,696 | 7,032,075 | 11,497,568 | 14,531,529 | 16,373,645 |
SOURCE: U.S. Census Bureau
Know | Need | Plan |
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Population data for two regions | The point in time when their populations will be the same |
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Enter all the numbers as millions, rounded to the nearest hundred thousand. For example, enter 12,911,994 as 12.9.
Step 1 Enter the data into lists on your calculator.
Step 2 Use LinReg(ax + b) to find lines of best fit.
Use L1 and L2 for New York City.
Use L1 and L3 for Los Angeles.
Step 3 Graph the linear regression lines. Use the Intersect feature.
What does x represent?
The x-value is the number of years since the zero year.
The x-value of the point of intersection is about 87, which represents the year 2037. The data suggest that the populations of the New York City and Los Angeles metropolitan regions will each be about 25.6 million in 2037.
1950 | 1960 | 1970 | 1980 | 1990 | 2000 | |
---|---|---|---|---|---|---|
San Diego | 334,387 | 573,224 | 696,769 | 875,538 | 1,110,549 | 1,223,400 |
Detroit | 1,849,568 | 1,670,144 | 1,511,482 | 1,203,339 | 1,027,974 | 951,270 |
SOURCE: U.S. Census Bureau