Question

Mary paints wooden signs and sells them at craft fairs. The function s(t) approximates how many signs Mary paints per hour. The function w(h) represents how many hours per week Mary spends painting the wooden signs. What are the units of measurement for the composite function s(w(h))?

Answer 1

`(signs)/(weeks)`

Answer 2

number of wooden signs per week.

Explanation:

Given:

-
`s(t)` denotes signs painted per hour.

-
`w(h)`- denotes number of hours worked per week.

#In the function composition, if we have 2 functions
`t(x)` and
`y(x)` then
`(t.y)(x)` implies applying
`y(x)` then
`t(x)` respectively to the results of function y.

-Given the function
`s(w(h))`, we first apply
`w(h)` which denotes hours/week and apply function s on the results of
`w`.

-Hence, the units of measurement will be number of wooden signs per week.