50 points show your work
the function 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.

find and compare the growth rates in the weekly number of specialty items produced at each factory. show your work.

The % growth rate is 15.8%.

Step-by-step explanation:

Let the function is given by , where f(w) is the number of a specific product produced after w weeks.

Now, given for w = 0, f(0) = 190 = a

So, the function becomes ............. (1)

Now, it is also give that at w = 1, f(1) = 220.

So, from equation (1) we get,

⇒ b = 1.15789.

Now, b = 1 + r

⇒ 1.15789 = 1 + r

⇒ r = 0.15789

Therefore, the % growth rate is 0.15789 × 100% = 15.8% (Approx.)

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step-by-step explanation: