Answer: y=-0.5x+4.5
Step-by-step explanation: y=mx+b, m is the slope = -1/2 or -0.5, and b is the y-int, which is 4.5
ANSWER

EXPLANATION
We want to find the absolute value function for the line in blue.
The general form of an absolute value function is:

where (h, k) = vertex
From the line, the vertex of the graph in blue is:

To find a, we have to pick a point (x, y) on the line and input it into the general function.
Let us pick (2, 1).
Therefore, we have:

Therefore, the absolute value function is:
Step-by-step explanation:
To solve this, you either need x or y. So x or y can be the missing values. The most you can do is simply move one of the terms to the other side.
Answer: the service charge per hour for premium services is $5.5
the service charge per hour for regular services is $3
Step-by-step explanation:
Let x represent the service charge per hour for premium services.
Let y represent the service charge per hour for regular services.
One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that
2x + 9y = 38- - - - - - - - - - - 1
Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that
3x + 6y = 34.5- - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 27y = 114
6x + 12y = 69
Subtracting, it becomes
15y = 45
y = 45/15
y = 3
Substituting y = 3 into equation 1, it becomes
2x + 9 × 3 = 38
2x + 27 = 38
2x = 38 - 27 = 11
x = 11/2 = 5.5