Two towns had a population of 12,000 in 1990. by 2000, the population of town a had increased by 8 % while the population of town b had decreased by 8 %. assume these growth and decay rates continued.
For this problem what we should do is write an exponential function for each town. We can write the exponential function for decades: town a = p (t) = 12000 (1.08) ^ (t) town b = p (t) = 12000 (0.92) ^ (t) In both cases: t = number of decades. We can write the exponential function for years: town a = p (t) = 12000 (1.08) ^ ((1/10) * t) town b = p (t) = 12000 (0.92) ^ ((1/10) * t) In both cases: t = number of years.