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

1.  If your total earnings up to week 10 are 95.96726 dollars, and your total earnings up to week 17 are 105.9673 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 550.6208 after having traveled for 8 hours and at milepost 620.6208 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 62.63257 cm at clock time 4 seconds and depth 79.63257 cm at clock time 11 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 9 your total earnings are 97.13957 dollars, then what will be your total earnings that the end of week 19?

5.  If an automobile is traveling at the rate of 35 mph, and is at milepost 133.1552 after having traveled for 4 hours, then what milepost would be after having traveled for 9 hours?

6.  If the depth of water in a uniform cylinder is changing at an average rate of 9 cm/second between clock times 9 s and 20 s, and if its depth at clock time 9 seconds is 66.54622 cm, then what is its depth at clock time 20 seconds?

7.  If your total earnings up to week 10 are 133.9724 dollars, and if you earn money at a constant rate of 14 dollars per week, then at what week will your total earnings be 147.9724 dollars?

8.  If an automobile is traveling at the rate of 69 mph, and is at milepost 679.2916 after having traveled for 10 hours, then after how many hours of travel will it have reached milepost 20?