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

1.  If your total earnings up to week 9 are 93.22406 dollars, and your total earnings up to week 16 are 104.2241 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 570.7363 after having traveled for 10 hours and at milepost 630.7363 after having traveled for 15 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 202.1013 cm at clock time 8 seconds and depth 228.1013 cm at clock time 13 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 8 dollars per week, and if at the end of week 7 your total earnings are 50.30189 dollars, then what will be your total earnings that the end of week 16?

5.  If an automobile is traveling at the rate of 61 mph, and is at milepost 473.7985 after having traveled for 8 hours, then what milepost would be after having traveled for 14 hours?

6.  If the depth of water in a uniform cylinder is changing at an average rate of 22 cm/second between clock times 5 s and 11 s, and if its depth at clock time 5 seconds is 106.2136 cm, then what is its depth at clock time 11 seconds?

7.  If your total earnings up to week 8 are 110.3339 dollars, and if you earn money at a constant rate of 14 dollars per week, then at what week will your total earnings be 124.3339 dollars?

8.  If an automobile is traveling at the rate of 48 mph, and is at milepost 453.7789 after having traveled for 10 hours, then after how many hours of travel will it have reached milepost 21?