Question

Determine the constant of proportionality,k,of Kevin’s wage.

Answer 1

Answer:

Kevin's constant of proportionality,k = $8.25 per hour

Greg's constant of proportionality,k = $9 per hour

Savannah's constant of proportionality,k = $9.5 per hour

Step-by-step explanation:

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

Solution

y = kx is a proportional variation

Where,

y and x are represent two different variables

k represent constant of proportionality

From the attached table,

Let

y = wages earned (in dollars)

x = hours worked

To find the constant of proportionality k of Kevin's wage, divide the variable y (total earned) by the variable x (number of hours)

Using any points on the table

Take (8,66.00) for example

constant of proportionality k of Kevin's wage = variable y (total earned) / variable x (number of hours)

= 66.00/8

= 8.25

k = $8.25 per hour

B. Constant of proportionality of Greg's wage = variable y (total earned) / variable x (number of hours)

Using (9, 81.00)

k = 81.00/9

= 9

Greg's k = $9 per hour

C. Constant if proportionality of Savannah's wage = variable y (total earned) / variable x (number of hours)

Using (6, 57.00)

k = 57.00/6

= 9.5

Savannah's k = $9.5 per hour

Therefore,

Kevin's constant of proportionality,k = $8.25 per hour

Greg's constant of proportionality,k = $9 per hour

Savannah's constant of proportionality,k = $9.5 per hour