Question

1. What is the constant of proportionality, k,

of Kevin's wage? Greg's? Savannah's?

Answer 1

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`

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=(16.50)/(2)=\$8.25\ per\ hour`

Greg's wage

Take any point from the table

I take the point (3,27.00)

`k=(27.00)/(3)=\$9.00\ per\ hour`

Savannah's wage

Take any point from the table

I take the point (2,19.00)

`k=(19.00)/(2)=\$9.50\ per\ hour`