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What am I doing wrong? n should equal the number of years since 2011, 2013-2011

ID: 3423934 • Letter: W

Question

What am I doing wrong? n should equal the number of years since 2011, 2013-2011 = 2

The following functions model the anticipated population of various towns in terms of the number of years, n since 2011.

g(n)=58024(0.85)^n

By what percentage does the population change each year as the number of years since 2011 increases? I come up with 15%

Use function notation to represent the anticipated population of the town in 2013. My answer is g(n)=58024(.85)^2

What is the anticipated population of the town in 2013? (Round up to the nearest whole number) I came up with 11522734336

Explanation / Answer

By what percentage does the population change each year as the number of years since 2011 increases?

g(n)=58024(0.85)^n

2011 ; n=0 g(0) = 58024

2012; n=1 ; g(1) = 58024(0.85)

% change in population : { ( 58024*0.85 - 58024)/( 58024)}*100

=( 0.85 -1)*100

= -15%

Use function notation to represent the anticipated population of the town in 2013.

Answer is g(n)=58024(.85)^2 = 0.7224* 58024 = 41922.34

Populatis decreasing every year .Re-check your calculation.

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