Question

If you worked at a job for 9.00/hour, what type of correlation is the number of hours worked and your take-home pay?

Answer 1

Answer:

There is a linear correlation between the number of hours worked and take-home pay. And more exactly, a direct proportionality. $C = 9\cdot t$

Explanation:

From statement we deduce that amount of hours worked ($t$) (Independent variable, measured in hours) is directly proportional to take-home pay ($C$) (dependent, measured in monetary units), since proportionality ratio is constant and, therefore, there exists a linear correlation between both variables. That is:

$C \propto t$

$C = k\cdot t$ (Eq. 1)

Where $k$ is the proportionality ratio, measured in monetary units per hour. If we know that $k = 9\,\frac{m.u.}{h}$, then the resulting correlation is:

$C = 9\cdot t$

There is a linear correlation between the number of hours worked and take-home pay.