im not sure if what im doing is correct

Assignment Booklet 6 7. The population of a city has been growing exponentially. The table below shows the population every ten years, starting in 1950. Year 1950 Population 1960 199 499 1970 1980 1990 2000 2010 243 128 296 371 361 275 440 392 536 835 654 399 a. Find the exponential regression equation in the form P(t) = ab' , 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. (2 marks) y = abt a= 3. 40 P (t) = 3. 40 ( 1: 02 ) t b = 1.02 b. Calculate the population, to the nearest whole number, in 1985. (2 marks) 6 1985-1950-35 P (t ) = 3. 40 ( 1.02 ) 35 P ( t ) = c. Assuming that the growth rate remains the same, during what year will the population reach 1 000 000? (1 mark)