Answer:
[tex]k=2.5\ \frac{pieces}{worker}[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
Let
x -----> the number of workers
y ----> the number of pieces made
In this problem
The relation between the variables x and y represent a direct variation (proportional variation)
so
For x=16, y=40
Find the value of the constant of proportionality k
[tex]k=\frac{y}{x}[/tex]
substitute the values
[tex]k=\frac{40}{16}[/tex]
[tex]k=2.5\ \frac{pieces}{worker}[/tex]
