Answer:
EZ Excavation: y = 24.5x
Happy Hauling Service: y = 25x
Explanation:
✔️Equation for EZ Excavation:
This can be written in slope-intercept form, y = kx
Where k is the unit rate/slope/constant of proportionality
y = cost
x = dirt
Thus,
k = y/x
Using any given pair of values from the table, say, (8, 196),
k = 196/8
k = 24.5
To write the equation, substitute k = 24.5 into y = kx
Thus:
y = 24.5x
✔️Equation for Happy Hauling Service:
This can be written in slope-intercept form, y = kx
Where k is the unit rate/slope/constant of proportionality
y = cost
x = dirt
Thus,
k = y/x
Using the coordinate of any point on the line, say (1, 25),
k = 25/1
k = 25
To write the equation, substitute k = 25 into y = kx
Thus:
y = 25x