Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

An oak tree that is 220 years old produced acorns at two different rates. Until it reached maturity, it produced an average of 900 acorns a year. However, once the tree reached maturity, it produced an average of 2200 acorns a year. One particular tree, Angel Oak, has produced about 289,000 acorns in its lifetime. At what age did it reach maturity?

A) 188
B) 150
C) 138
D) 148


Sagot :


The answer is B: 150

Let a be the age at which the tree reaches maturity

289000 = 900a + 2200(220-a)
289000 = 900a + 484000 - 2200a
289000 - 484000 = -1300a
a = -19500 / -1300
a = 150