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

Question

Mathematics

Jaidyn Wilcox

17 May, 02:15

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

+1

Answers (1)

Know the Answer?

Patricky · Answer 1

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