Answer: [tex]k = 8.33[/tex]
Step-by-step explanation:
Let [tex]n[/tex] represent the number of widgets , w represents the number of workers and t represents the time they have worked. That is :
[tex]n[/tex] ∝[tex]wt[/tex]
introducing the proportionality constant k , we have
[tex]n = kwt[/tex]
substituting the values given , we have
[tex]307.2 = k (160)(16)[/tex]
[tex]307.2 = 2560k[/tex]
divide through by 2560
[tex]k = 8.3333333333[/tex]
correct to 2 decimal places
[tex]k = 8.33[/tex]
