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the amount of a person's paycheck P varies directly with the number of hours worked t. For 13 hours of work the paycheck is $87.75. write an equation for the relationship between hours of work and pay.

Answer :

We find that the following function is the one described by the problem:

[tex]P=kt[/tex]

Now, we replace the values given to determine the value of k:

[tex]87.75=k(13)\Rightarrow k=\frac{27}{4}[/tex]

Finally, the expression that accurately describes the problem is:

[tex]P=\frac{27}{4}t[/tex]

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