Question

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 1

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

`P=kt`

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

`87.75=k(13)\Rightarrow k=(27)/(4)`

Finally, the expression that accurately describes the problem is:

`P=(27)/(4)t`