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

1.  If your total earnings up to week 6 are 67.20547 dollars, and your total earnings up to week 11 are 79.20547 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 9 your total earnings are 46.25642 dollars, then what will be your total earnings that the end of week 20?

3.  If your total earnings up to week 10 are 104.3423 dollars, and if you earn money at a constant rate of 11 dollars per week, then at what week will your total earnings be 115.3423 dollars?

4.  If an automobile is at milepost 285.0305 after having traveled for 4 hours and at milepost 358.0305 after having traveled for 9 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 45 mph, and is at milepost 179.1825 after having traveled for 4 hours, then what milepost would be after having traveled for 13 hours?

6.  If an automobile is traveling at the rate of 59 mph, and is at milepost 518.7658 after having traveled for 9 hours, then after how many hours of travel will it have reached milepost 15?

7.  If the water in a uniform cylinder has depth 102.7715 cm at clock time 7 seconds and depth 118.7715 cm at clock time 13 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 32 cm/second between clock times 9 s and 19 s, and if its depth at clock time 9 seconds is 280.582 cm, then what is its depth at clock time 19 seconds?