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))? Signs over weeks hours over weeks weeks over signs signs over hours

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

the units of measurement for the composite function s(w(h)) is  $\frac{Signs}{weeks}$ . Correct option A) .

Step-by-step explanation:

Here we have , 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. We need to find What are the units of measurement for the composite function s(w(h)) . Let's find out:

Basically we have two functions as ,

s(t) : how many signs Mary paints per hour

⇒ $\frac{Signs}{hour}$

w(h) : how many hours per week Mary spends painting the wooden signs

⇒ $\frac{hours}{week}$

In function composition, if we have two function f(x) and g(x) then

(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g. So , In s(w(h)) :

⇒ $\frac{Signs}{hour}(\frac{hours}{week})$

⇒ $\frac{Signs}{weeks}$

Therefore ,  the units of measurement for the composite function s(w(h)) is  $\frac{Signs}{weeks}$ . Correct option A) .