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

1.  If your total earnings up to week 10 are 53.64612 dollars, and your total earnings up to week 18 are 59.64612 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 6 dollars per week, and if at the end of week 6 your total earnings are 34.36461 dollars, then what will be your total earnings that the end of week 11?

3.  If your total earnings up to week 6 are 69.76116 dollars, and if you earn money at a constant rate of 12 dollars per week, then at what week will your total earnings be 81.76116 dollars?

4.  If an automobile is at milepost 274.2051 after having traveled for 4 hours and at milepost 343.2051 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 41 mph, and is at milepost 285.7105 after having traveled for 7 hours, then what milepost would be after having traveled for 18 hours?

6.  If an automobile is traveling at the rate of 59 mph, and is at milepost 400.8019 after having traveled for 7 hours, then after how many hours of travel will it have reached milepost 14?

7.  If the water in a uniform cylinder has depth 114.9962 cm at clock time 8 seconds and depth 129.9962 cm at clock time 16 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 8 cm/second between clock times 8 s and 17 s, and if its depth at clock time 8 seconds is 46.26912 cm, then what is its depth at clock time 17 seconds?