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The time it takes to wash all the windows on a large building with(x) varies inversely with the number of workers assigned to the job x. It takes 6 hours to complete the job when 4 workers are assigned to it. Which equation can be used to find the time to complete the job when x workers are assigned to it?

Respuesta :

Answer:

The time to complete the job is given by the expression below:

[tex]T = \frac{24}{x}[/tex]

Where T = time it takes to wash all the windows

            x = the number of workers assigned to the job

Step-by-step explanation:

The proportionality can be represented below as:

T ∝ [tex]\frac{1}{x}[/tex]

T = [tex]\frac{K}{x}[/tex] -------------------- Equation 1

Where K is the constant of proportionality

Considering the given instance,

When T = 6, x = 4

6 = [tex]\frac{K}{4}[/tex]

K = 4 × 6

K = 24

Substituting the value of K into Equation 1,

T = [tex]\frac{24}{x}[/tex]