The population of a city has been growing exponentially. The table below shows the population every ten years, starting in 1950. Year Population a....
The population of a city has been growing exponentially. The table below shows the population every ten years, starting in 1950.
| Year | 1950 | 1960 | 1970 | 1980 | 1990 | 2000 | 2010 |
| Population | 199 499 | 243 128 | 296 371 | 361 275 | 440 392 | 536 835 | 654 399 |
a. Find the exponential regression equation in the form
, where P(t) is the population and t is the number of years since 1950 (1950 is year 0). Express the values of a and b to the nearest hundredth.
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b. Calculate the population, to the nearest whole number, in 1985.
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c. Assuming that the growth rate remains the same, during what year will the population reach 1 000 000?
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