Question

Joey paints old furniture and sells the pieces at craft fairs. The function f(t) approximates how many pieces of furniture he paints per hour. The function w(h) represents how many hours per week Joey spends painting the pieces of furniture. What are the units of measurement for the composite function f(w(h))?
hours/weeks


week/furniture


furniture/hours


furniture/weeks

Answer 1

Answer:

Option D.

Step-by-step explanation:

Let as consider the function f(t) approximates how many pieces of furniture he paints per hour. It means unit of this function is furniture/hours.

The function w(h) represents how many hours per week Joey spends painting the pieces of furniture. It means unit of this function is hours/weeks.

We need to find the units of measurement for the composite function f(w(h)).

It the function f(w(h)), first we need to apply the function w(h) after that f(t).

$f(w(h))=\frac{furniture}{hours}(\frac{hours}{week})$

$f(w(h))=\frac{furniture}{week}$

The units of measurement for the composite function f(w(h)) is furniture/weeks.

Therefore, the correct option is D.