composite function J[P(W)=J(1/3w+4) represent paintings Jeremy completes in a year .
this equation means number of paintings= weeks(rate)
The function P takes a number of weeks as an argument and returns the number of paintings.
The function J takes some argument (unspecified) and returns a number of weeks per year.
The composite function that will give the number of paintings per year will be P(weeks per year) = P(J(y)).
P(J(y)) = 1/3·J(y) +4 .
Looking at the units of the input and output of each of the functions is called "units analysis."
Unit analysis means using the rules of multiplying and reducing fractions to solve problems involving different units.
To learn more about unit analysis from the given link
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