Suppose K₀ = 100 and Assume It Grows at a Constant

Multiple Choice

Suppose k₀ = 100 and assume it grows at a constant rate $\bar { g } _ { X } = 2$ percent per year. If $y _ { t } = k _ { t } ^ { 1 / 3 } ,$
What is the approximate value of y in 50 years?

A) $y _ { 50 } = 269$
B) $y _ { 50 } = 6.45$
C) $y _ { 50 } = 5.38$
D) $y _ { 50 } = 1.11$
E) Not enough information is given.