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

1.  If your total earnings up to week 6 are 56.22443 dollars, and your total earnings up to week 11 are 66.22443 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 10 dollars per week, and if at the end of week 5 your total earnings are 49.81935 dollars, then what will be your total earnings that the end of week 16?

3.  If your total earnings up to week 5 are 73.68518 dollars, and if you earn money at a constant rate of 15 dollars per week, then at what week will your total earnings be 88.68518 dollars?

4.  If an automobile is at milepost 733.5715 after having traveled for 10 hours and at milepost 808.5715 after having traveled for 17 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 40 mph, and is at milepost 193.9061 after having traveled for 5 hours, then what milepost would be after having traveled for 10 hours?

6.  If an automobile is traveling at the rate of 73 mph, and is at milepost 351.5146 after having traveled for 5 hours, then after how many hours of travel will it have reached milepost 16?

7.  If the water in a uniform cylinder has depth 102.253 cm at clock time 4 seconds and depth 128.253 cm at clock time 9 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 18 cm/second between clock times 5 s and 11 s, and if its depth at clock time 5 seconds is 88.63743 cm, then what is its depth at clock time 11 seconds?