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The amount of a person’s paycheck varies directly with the number of hours worked . For 16 hours of work, the paycheck is $124.00. Write an equation for the relationship between hours of work and pay.

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The equation p = 7.75t represents the relationship between hours of work and pay.

Step-by-step explanation:

Given,

Amount for 16 hours of work = $124.00

Let,

t be the number of hours.

p be the paycheck.

As they are directly proportion;

p ∝ t

p = k*t     Eqn 1

Where k is constant of proportionality.

[tex]124=k*16\\124=16k\\16k=124[/tex]

Dividing both sides by 16

[tex]\frac{16k}{16}=\frac{124}{16}\\k=7.75[/tex]

Putting k=7.75 in Eqn 1

p = 7.75t

The equation p = 7.75t represents the relationship between hours of work and pay.

Keywords: proportion, division

Learn more about proportion at:

  • brainly.com/question/9607945
  • brainly.com/question/9590016

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