Question

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

Answer 1

Answer:

Part a) The constant of proportionality of Kevin's wage is $k=\ 8.25\ per\ hour$

Part b) The constant of proportionality of Greg's wage is $k=\ 9.00\ per\ hour$

Part c) The constant of proportionality of Savannah's wage is $k=\ 9.50\ per\ hour$

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 $y/x=k$ or $y=kx$

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)

$k=\frac{16.50}{2}=\ 8.25\ per\ hour$

Greg's wage

Take any point from the table

I take the point (3,27.00)

$k=\frac{27.00}{3}=\ 9.00\ per\ hour$

Savannah's wage

Take any point from the table

I take the point (2,19.00)

$k=\frac{19.00}{2}=\ 9.50\ per\ hour$