How do I graph this relationship described? Bennett works as a chef and caterer. He charges a flat fee plus a fixed hourly rate. For 10 hours, he charges $125. For 12 hours, he charges $145. Graph the line representing the relationship described.
To graph this relationship, we need to first determine the fixed fee and the hourly rate.
Let the fixed fee be represented by "a" and the hourly rate be represented by "b".
From the information given, we can set up the following equations:
10b + a = 125 ------> (1)
12b + a = 145 ------> (2)
We can now solve this system of equations to find the values of "a" and "b".
Subtracting equation (1) from equation (2), we get:
2b = 20
b = 10
Substitute the value of b back into equation (1) to find the value of a:
10(10) + a = 125
100 + a = 125
a = 25
Therefore, the fixed fee is $25 and the hourly rate is $10.
To graph this relationship, we plot the points (10, 125) and (12, 145) on a graph where the x-axis represents the number of hours and the y-axis represents the total cost.
Then, we draw a line connecting these two points to represent the relationship described by Bennett's charges.
The graph will show a straight line passing through the points (10, 125) and (12, 145).