The mechanic does 4 oil changes in 2 hours. How many oil changes can the mechanic do in 8 hours?
2 answers:
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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
