Question

50 POINTS SHOW YOUR WORK

Answer 1

Answer:

The % growth rate is 15.8%.

Step-by-step explanation:

Let the function is given by $f(w) = a(b)^{w}$, 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 $f(w) = 190(b)^{w}$ ............. (1)

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

So, from equation (1) we get,

$220 = 190 (b)^{1} = 190b$

⇒ 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.)