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

1.  If your total earnings up to week 10 are 75.07745 dollars, and your total earnings up to week 17 are 83.07745 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 12 dollars per week, and if at the end of week 5 your total earnings are 55.42427 dollars, then what will be your total earnings that the end of week 10?

3.  If your total earnings up to week 4 are 29.74105 dollars, and if you earn money at a constant rate of 8 dollars per week, then at what week will your total earnings be 37.74105 dollars?

4.  If an automobile is at milepost 663.4614 after having traveled for 10 hours and at milepost 730.4614 after having traveled for 18 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 55 mph, and is at milepost 219.3397 after having traveled for 4 hours, then what milepost would be after having traveled for 9 hours?

6.  If an automobile is traveling at the rate of 68 mph, and is at milepost 456.5722 after having traveled for 7 hours, then after how many hours of travel will it have reached milepost 13?

7.  If the water in a uniform cylinder has depth 137.0695 cm at clock time 5 seconds and depth 167.0695 cm at clock time 12 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 8 s and 15 s, and if its depth at clock time 8 seconds is 235.6078 cm, then what is its depth at clock time 15 seconds?