Answer:
There is a linear correlation between the number of hours worked and take-home pay. And more exactly, a direct proportionality. [tex]C = 9\cdot t[/tex]
Explanation:
From statement we deduce that amount of hours worked ([tex]t[/tex]) (Independent variable, measured in hours) is directly proportional to take-home pay ([tex]C[/tex]) (dependent, measured in monetary units), since proportionality ratio is constant and, therefore, there exists a linear correlation between both variables. That is:
[tex]C \propto t[/tex]
[tex]C = k\cdot t[/tex] (Eq. 1)
Where [tex]k[/tex] is the proportionality ratio, measured in monetary units per hour. If we know that [tex]k = 9\,\frac{m.u.}{h}[/tex], then the resulting correlation is:
[tex]C = 9\cdot t[/tex]
There is a linear correlation between the number of hours worked and take-home pay.
