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

1.  If your total earnings up to week 8 are 60.88917 dollars, and your total earnings up to week 18 are 68.88917 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 14 dollars per week, and if at the end of week 10 your total earnings are 133.8805 dollars, then what will be your total earnings that the end of week 16?

3.  If your total earnings up to week 10 are 91.4027 dollars, and if you earn money at a constant rate of 10 dollars per week, then at what week will your total earnings be 101.4027 dollars?

4.  If an automobile is at milepost 530.0723 after having traveled for 8 hours and at milepost 597.0723 after having traveled for 13 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 31 mph, and is at milepost 180.184 after having traveled for 6 hours, then what milepost would be after having traveled for 14 hours?

6.  If an automobile is traveling at the rate of 56 mph, and is at milepost 534.8699 after having traveled for 10 hours, then after how many hours of travel will it have reached milepost 17?

7.  If the water in a uniform cylinder has depth 78.58652 cm at clock time 9 seconds and depth 89.58652 cm at clock time 14 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 11 cm/second between clock times 7 s and 18 s, and if its depth at clock time 7 seconds is 65.97279 cm, then what is its depth at clock time 18 seconds?