The 2000 u.s. census reports the populations of bozeman, montana, as 27,509 and butte, montana, as 32,370. since the 1990 census, bozeman’s population has been increasing at approximately 1.96% per year. butte’s population has been decreasing at approximately 0.29% per year. assume that the growth and decay rates stay constant. show the equation you would use to predict the populations of both cities in 2005, then solve the equation. a. bozeman: p (5) = 27, 509 (1.0196) superscript 0.5 baseline = 27,777 butte: p (5) = 32,370 (0.9971) superscript 0.5 baseline 32,323 b. bozeman: p (5) = 32,370 (1.96) superscript 5 baseline = 946,730 butte: p (5) = 27,609 (0.29) superscript 5 baseline = 27,565 c. bozeman: p (5) = 32,370 (1.0196) superscript 5 baseline = 35,669 butte: p (5) = 27,509 (0.9971) superscript 5 baseline = 27,112 d. bozeman: p (5) = 27,509 (1.0196) superscript 5 baseline = 30,313 butte: p (5) = 32,370 (0.9971) superscript 5 baseline 32,323 = 31,903