Question

The growth model A=112.5e^0.012t describes Mexico's population,A, in millions, t in years after 2010. How long will it take Mexico to double its population?

Answer 1

57.762 years

Explanation:

Since 112.5 is the constant, we want to find how long it takes to double that, or what value of t will make
`e^(0.012t)=2`

`e^(0.012t)=2\\ln(e^(0.012t))=ln(2)\\0.012t = ln(2)\\t = ln(2)/0.012\\t = 57.762`