Q:

1. What is the constant of proportionality, k,of Kevin's wage? Greg's? Savannah's?

Accepted Solution

A:
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 problemwe know thatA 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 wageTake 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 wageTake 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 wageTake any point from the table I take the point (2,19.00)[tex]k=\frac{19.00}{2}=\$9.50\ per\ hour[/tex]