Answer:
To create a graph showing the relationship between the number of hours worked and the total cost of the repair bill, we can use a line graph.
On the x-axis, we will plot the number of hours worked, and on the y-axis, we will plot the total cost of the repair bill.
Let's consider some examples to plot the points on the graph:
- If no hours of work are done, the total cost would be the service call fee of $80. This gives us the point (0, 80).
- If one hour of work is done, the total cost would be the service call fee plus the cost of one hour of work, which is $80 + $30 = $110. This gives us the point (1, 110).
- If two hours of work are done, the total cost would be the service call fee plus the cost of two hours of work, which is $80 + $30 * 2 = $140. This gives us the point (2, 140).
We can continue this pattern to plot additional points on the graph.
The equation of the graph representing this relationship is a linear equation in the form of y = mx + b, where y represents the total cost, x represents the number of hours worked, m represents the slope of the line, and b represents the y-intercept.
In this case, the slope (m) represents the cost per hour of work, which is $30, and the y-intercept (b) represents the service call fee, which is $80.
So, the equation of the graph is y = 30x + 80.
Explanation:
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