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.
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%