Answer:
61 hours
Step-by-step explanation:
See the attached figure to better understand the problem
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)
Kevin's wage
Take any point from the table
I take the point (2,16.50)
[tex]k=\frac{16.50}{2}=\$8.25\ per\ hour[/tex]
The equation of the proportional relationship is equal to
[tex]y=kx[/tex]
substitute the value of k
[tex]y=8.25x[/tex]
For y=$500.00
substitute the value of y in the equation and solve for x
[tex]500=8.25x[/tex]
Divide by 8.25 both sides
[tex]x=\frac{500}{8.25}=61\ h[/tex]
