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

1.  If your total earnings up to week 5 are 62.50581 dollars, and your total earnings up to week 11 are 75.50581 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 691.5243 after having traveled for 10 hours and at milepost 761.5243 after having traveled for 18 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 300.7751 cm at clock time 9 seconds and depth 334.7751 cm at clock time 14 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 15 dollars per week, and if at the end of week 6 your total earnings are 85.93239 dollars, then what will be your total earnings that the end of week 17?

5.  If an automobile is traveling at the rate of 31 mph, and is at milepost 256.2416 after having traveled for 9 hours, then what milepost would be after having traveled for 16 hours?

6.  If the depth of water in a uniform cylinder is changing at an average rate of 10 cm/second between clock times 5 s and 11 s, and if its depth at clock time 5 seconds is 44.96849 cm, then what is its depth at clock time 11 seconds?

7.  If your total earnings up to week 8 are 80.48295 dollars, and if you earn money at a constant rate of 11 dollars per week, then at what week will your total earnings be 91.48295 dollars?

8.  If an automobile is traveling at the rate of 60 mph, and is at milepost 229.0754 after having traveled for 4 hours, then after how many hours of travel will it have reached milepost 11?