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

Mathematics

Edwin Pearson

30 June, 23:57

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?

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Answers (1)

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Knapp · Answer 1

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