A cable company charges $40 plus $12 for each cable jack. If x is the number of jacks installed, the linear equation is C=12x+40. graph the total
To graph the equation C=12x+40, we can create a table with a few values for x and then plot the corresponding points on a graph.
Let's choose three values for x: 0, 1, and 2.
When x = 0:
C = 12(0) + 40
C = 0 + 40
C = 40
So when there are 0 jacks installed, the total cost (C) is $40.
When x = 1:
C = 12(1) + 40
C = 12 + 40
C = 52
So when there is 1 jack installed, the total cost (C) is $52.
When x = 2:
C = 12(2) + 40
C = 24 + 40
C = 64
So when there are 2 jacks installed, the total cost (C) is $64.
Now, let's plot these points on a graph. We'll use a standard coordinate system with x-values on the horizontal axis and C-values on the vertical axis.
The point (0, 40) represents the cost when there are 0 jacks installed.
The point (1, 52) represents the cost when there is 1 jack installed.
The point (2, 64) represents the cost when there are 2 jacks installed.
Plotting these points and connecting them with a straight line will give us the graph of the linear equation C=12x+40.