Answer
a. $ 1.2\%$
b. $58$ years
Work Step by Step
Exponential growth model: $A=A_{0}e^{kt} \qquad(k>0)$
($A_{0}$ is the initial quantity, $A$ is the quantity after time t).
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a.
Reading k directly from the model $A=112.5e^{0.012t}$
$k=0.012$,
( Mexico's growth rate is $ 1.2\%$)
$\mathrm{b}$.
Using the given formula for doubling time,
$ t=\displaystyle \frac{\ln 2}{0.012}\approx$57.7622650467
To the nearest whole year:
58 years.
