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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.

Respuesta :

Answer:

a

Step-by-step explanation:

bayosanuade

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]

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