Continuous Growth and Decay

Question

Sam shaved his head to .5 inches for a swim meet. If his hair grows continuously at a rate of one-quarter of an inch per month, find the length of his hair after one year.

Answer 1

First, this is not a continuous growth problem. It is a linear with a constant rate of change.

 

a₁₂ = a₁ + 11d

a₁₂ = 0.5 + 11(0.25)

 

Can you complete?