Answer:
Part a) The constant of proportionality of Kevin's wage is [tex]k=\$8.25\ per\ hour[/tex]
Part b) The constant of proportionality of Greg's wage is [tex]k=\$9.00\ per\ hour[/tex]
Part c) The constant of proportionality of Savannah's wage is [tex]k=\$9.50\ per\ hour[/tex]
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]
Greg's wage
Take any point from the table
I take the point (3,27.00)
[tex]k=\frac{27.00}{3}=\$9.00\ per\ hour[/tex]
Savannah's wage
Take any point from the table
I take the point (2,19.00)
[tex]k=\frac{19.00}{2}=\$9.50\ per\ hour[/tex]
