2 answers:
-$304.97 would be the correct answer
Answer: −$304.97/year
Step-by-step explanation:
We know that the rate of change of function=
Thus, for the required situation the rate of change of function per year between years 4 and 8=
![\frac{f(8)-f(4)}{8-4}\\\\=\frac{18000(0.52)^8-18000(0.52)^4}{4}\\\\=\frac{18000[(0.52)^8-(0.52)^4]}{4}\\\\=\frac{18000[0.00534-0.07311]}{4}\\\\=\frac{18000\times-0.06777}{4}\\\\=\frac{-1219.86}{4}=-304.97](https://tex.z-dn.net/?f=%5Cfrac%7Bf%288%29-f%284%29%7D%7B8-4%7D%5C%5C%5C%5C%3D%5Cfrac%7B18000%280.52%29%5E8-18000%280.52%29%5E4%7D%7B4%7D%5C%5C%5C%5C%3D%5Cfrac%7B18000%5B%280.52%29%5E8-%280.52%29%5E4%5D%7D%7B4%7D%5C%5C%5C%5C%3D%5Cfrac%7B18000%5B0.00534-0.07311%5D%7D%7B4%7D%5C%5C%5C%5C%3D%5Cfrac%7B18000%5Ctimes-0.06777%7D%7B4%7D%5C%5C%5C%5C%3D%5Cfrac%7B-1219.86%7D%7B4%7D%3D-304.97)
Hence the average rate of change in value per year between years 4 and 8= -$304.97 per year.
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