Answer:
p=60h
Explanation:
A relationship between two variables, x and y, is said to reflect a proportional variation if it can be written as y/x=ky/x=k or y=kxy=kx.
In a proportional relationship, the proportionality constant, k, is equal to the line's slope, m, and the line also goes through the origin.
Consider,
a = the number of hours worked
b = the amount paid in dollars
In this problem we have a proportional variation, between two variables, a, and b
Find out the constant of proportionality k
For (5,300)⇒ k=b/ak=b/a ⇒ k=300/5=60$/h
For (4,240) ⇒ k=b/ak=b/a ⇒ k=240/4 = 60$/h
For (6,360) ⇒ k=b/ak=b/a ⇒ k=360/6= 60$/h
We can tell that the constant k = 60$/h
Then the equation implies:
b=60ab=60a
The proportionality constant or slope of the linear equation is equal to the unit rate of change of dollars with regard to time.
Therefore the painter paid for one hour work is $60 per hour.