Question

16 factory workers made 40 pieces in a certain amount of time. Find the constant of variation.

Answer 1

Answer:

$k=2.5\ \frac{pieces}{worker}$

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 $y/x=k$ or $y=kx$

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

$k=\frac{y}{x}$

substitute the values

$k=\frac{40}{16}$

$k=2.5\ \frac{pieces}{worker}$