Answer:
C(x) = 15 0 ≤ x ≤ 2
C(x) = 5x + 10 2 < x ≤ 6
C(x) = 50 x > 6
Step-by-step explanation:
Let's define
- C(x): Monthly Cost in dollars
The graph has three parts. In the first part, the cost has a constant value of 15. The closed circles indicate that endpoints (at 0 and 2) are included in this segment.
In the second part, a line (which pass through (2, 20) and (6,40)) is shown. Its parameters are:
slope = (40 - 20)/(6-2) = 5
y-intercept: 20 = 5*2 + b <=> b = 20 - 5*2 = 10
Therefore, the equation of the line is: y = 5x + 10
The open circle at the beginning of the line indicates that it is not present in the segment. The closed circle at the end of the line indicates that it is present in the segment.
In the third part, the cost has a constant value of 50. The open circle indicates that the endpoint (6,50) is not included in this segment.
