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The function p(w)=230(1.1)^w  represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period

 

https://prnt.sc/pvz51r

 

Find and compare the growth rates in the weekly number of specialty items produced at each factory. 

 Nov 12, 2019
 #1
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The growth rate in the weekly number of specialty items at the old factory  is 10%

 

For  the new factory, we can solve this  for  r

 

505  =  190 ( 1 + r)^7       divide both sides by 190

 

505/190  = (1 + r)^7        take the 7th root of both sides

 

[ 505 / 190 ] ^(1/7) = 1 + r      subtract 1 from both sides

 

[505 / 190 ]^(1/7) - 1  = r   ≈ .15 

 

So....the growth rate for the new company is ≈  15%

 

cool cool cool

 Nov 12, 2019

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