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

1.  If your total earnings up to week 8 are 94.15308 dollars, and your total earnings up to week 16 are 106.1531 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 an automobile is at milepost 377.8586 after having traveled for 8 hours and at milepost 426.8586 after having traveled for 13 hours, then what is its average speed? Why do we say average speed rather than just speed?

3.  If the water in a uniform cylinder has depth 73.12828 cm at clock time 8 seconds and depth 83.12828 cm at clock time 17 seconds, then at what average rate is the depth changing? What we say average rate rather than just rate?

4.  If you are earning money at an average rate of 11 dollars per week, and if at the end of week 10 your total earnings are 102.3881 dollars, then what will be your total earnings that the end of week 15?

5.  If an automobile is traveling at the rate of 40 mph, and is at milepost 262.151 after having traveled for 7 hours, then what milepost would be after having traveled for 17 hours?

6.  If the depth of water in a uniform cylinder is changing at an average rate of 28 cm/second between clock times 4 s and 15 s, and if its depth at clock time 4 seconds is 107.2987 cm, then what is its depth at clock time 15 seconds?

7.  If your total earnings up to week 6 are 80.41646 dollars, and if you earn money at a constant rate of 14 dollars per week, then at what week will your total earnings be 94.41646 dollars?

8.  If an automobile is traveling at the rate of 59 mph, and is at milepost 396.8171 after having traveled for 7 hours, then after how many hours of travel will it have reached milepost 13?