Question

The number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have worked. Find the constant of proportionality k to 2 decimal places if 160 workers work 16 hours and can produce 307.2 widgets.

Answer 1

Answer:

a

Step-by-step explanation:

Answer 2

Answer: $k = 8.33$

Step-by-step explanation:

Let $n$ represent the number of widgets , w represents the number of workers and t represents the time they have worked. That is :

$n$ ∝$wt$

introducing the proportionality constant k , we have

$n = kwt$

substituting the values given , we have

$307.2 = k (160)(16)$

$307.2 = 2560k$

divide through by 2560

$k = 8.3333333333$

correct to 2 decimal places

$k = 8.33$