Exponential Growth xxxxxxx Decay

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**Exponential Growth xxxxxxx Decay**

Create a story problem xxxxxxx uses eixxxxxxxr exponential growth or exponential decay.

In 2009, txxxxxxx xxxxxxx 10000 smart phone users in xxxxxxx market. The number of users xxxxxxx xxxxxxxreased by 91% per year xxxxxxx to date. How xxxxxxx smart phone users xxxxxxx in xxxxxxx market today?

Txxxxxxx is an exponential growth xxxxxxx as xxxxxxx, xxxxxxx following xxxxxxxmula applies:

y = a (1+r)^{ x}

wxxxxxxx y = number of manual / hxxxxxxxs

a = initial **amount** xxxxxxx measuring decay = 10000

r = decay **xxxxxxx** (xxxxxxx a percent) = 91%

x = number of **xxxxxxxe** intervals xxxxxxx xxxxxxx passed = 5

y xxxxxxxn becomes

y = 10000 (1+0.91)^{5}

y = 10000 (1.91)^{5}

^{ }y = 10000 * 25.419

y = 250,000 because xxxxxxx xxxxxxxnot be xxxxxxxed in xxxxxxxir fractions.

Problem to solve:

Story Problem: Due to enhancements in technology xxxxxxx automation, xxxxxxx manual \ hxxxxxxxs on jobs at a firm xxxxxxx currently numbers 2500 is decreasing a xxxxxxx of 20% per year. What is xxxxxxx number of manual \ hxxxxxxxs on jobs left xxxxxxx 3 years?

Txxxxxxx is an exponential decay xxxxxxx as xxxxxxx, xxxxxxx following xxxxxxxmula applies:

y = a (1-r)^{ x}

wxxxxxxx y = number of manual / hxxxxxxxs

a = initial **amount** xxxxxxx measuring decay = 2500

r = decay **xxxxxxx** (xxxxxxx a percent) = 20%

x = number of **xxxxxxxe** intervals xxxxxxx xxxxxxx passed = 3

y xxxxxxxn becomes

y = 2500 (1-0.2)^{3}

y = 2500 (0.8)^{3}

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