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

Finley Mullen

Mathematics

8 December, 09:54

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)

Know the Answer?

Chelsea Baxter · 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