Bennett works as a chef and a caretaker. He charges a flat fee plus a fixed hourly rate. For 10 hours, he charges $125. For 12 hours, he charges $145. How would this be graphed?

Answer 1

To graph the relationship between the number of hours worked and the fees charged, we can use a scatter plot.

Let's label the horizontal axis as "Hours Worked" and the vertical axis as "Fees Charged". The points (10, $125) and (12, $145) represent the given data.

The flat fee can be represented by the y-intercept of the graph. From the data, we can determine that the flat fee is $105.

The fixed hourly rate can be represented by the slope of the graph. To find the fixed hourly rate, we can subtract the flat fee from the prices charged for the respective hours.

For 10 hours: $125 - $105 (flat fee) = $20
For 12 hours: $145 - $105 (flat fee) = $40

The fixed hourly rate is $20 per hour.

Now let's plot the points (10, $125) and (12, $145) on the graph and draw a straight line passing through them.

Here's the graph:
[image]

The equation of the line can be written as:
Fees Charged = (Hourly Rate * Hours Worked) + Flat Fee

Thus, the equation for the line in this case would be:
Fees Charged = ($20 * Hours Worked) + $105