We can solve this problem by determining the slope and using it to form a linear equation as y = 60x + 20.
A linear equation is described as an equation written in the form of y = mx + b, with m as the slope, x as a constant, and b as the y-intercept.
Two data points or coordinates taken from the graph will help us to get the slope:
(0, 20) and (3, 200)
The slope = Rise/Run (y₃ - y₀)/(x₃ - x₀)
= (200 - 20)/(3 - 0) = 180/3 = 60
Let the number of hours = x
Let the total cost = y
Equation:
y = 60x + 20
Based on the above equation, the table is filled as follows:
Hours Process Cost ($)
0 60(0) + 20 20.00
1 60(1) + 20 80.00
2 60(2) + 20 140.00
3 60(3) + 20 200.00
4 60(4) + 20 260.00
5 60(5) + 20 320.00
6 60(6) + 20 380.00
Thus, using the linear model, we can conclude that Andy's Appliance charges a fixed fee of $20 for each house call and $60 per hour of labor.