the population of Ashmore was 925 in 2000 and in 1028 in 2001. the linear model for ashmores population is p= 103t+925, where the is the years since 2000. Find an exponential model, in the form pm a (b)^2, for ashmores population t-ywars after 2000. round b to the nearest thousandth.How much greater is the population predicted by the exponential model than that predicted by the linear model for the year 2015?

Question

Answer:

divide known populations:

1028 / 925 = 1.11135

so exponential formula would be 925*1.11135^t

using 15 years: 925 * 1.11135^15 = 4507

linear model: 103(15) +925 = 2470

4507 - 2470 = 2037 more people using exponential

solved

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