#### Answer

please see details in "work step by step"

#### Work Step by Step

This situation fits with
The logistic growth model, given by $A=\displaystyle \frac{c}{1+ae^{-bt}}$,
(a,b,c are constants and $c>0, b>0$)
describes situations in which growth is limited.
$y=c$ is a horizontal asymptote for the graph,
and growth, $A$, can never exceed $c$.
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You will not be able to increase the weight without bound.
Collecting data and calculating the model, you will find what a, b, and c are.
By knowing your c, you may predict
the MAXIMUM weight you might EVER be able to lift.