Solve the following by describing a picture, and by constructing a graph:

1.  If your total earnings up to week 6 are 58.14456 dollars, and your total earnings up to week 17 are 68.14456 dollars, then what are your average earnings per week? Why do we say average earnings per week rather than just earnings per week?

2.  If you are earning money at an average rate of 12 dollars per week, and if at the end of week 4 your total earnings are 45.96436 dollars, then what will be your total earnings that the end of week 14?

3.  If your total earnings up to week 8 are 115.8791 dollars, and if you earn money at a constant rate of 15 dollars per week, then at what week will your total earnings be 130.8791 dollars?

4.  If an automobile is at milepost 465.6786 after having traveled for 7 hours and at milepost 533.6786 after having traveled for 18 hours, then what is its average speed? Why do we say average speed rather than just speed?

5.  If an automobile is traveling at the rate of 75 mph, and is at milepost 360.8625 after having traveled for 5 hours, then what milepost would be after having traveled for 12 hours?

6.  If an automobile is traveling at the rate of 37 mph, and is at milepost 170.3144 after having traveled for 5 hours, then after how many hours of travel will it have reached milepost 13?

7.  If the water in a uniform cylinder has depth 75.9821 cm at clock time 8 seconds and depth 87.9821 cm at clock time 14 seconds, then at what average rate is the depth changing? What we say average rate rather than just rate?

8.  If the depth of water in a uniform cylinder is changing at an average rate of 17 cm/second between clock times 6 s and 17 s, and if its depth at clock time 6 seconds is 90.69089 cm, then what is its depth at clock time 17 seconds?