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

1.  If your total earnings up to week 10 are 52.52809 dollars, and your total earnings up to week 17 are 58.52809 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 7 dollars per week, and if at the end of week 10 your total earnings are 60.69826 dollars, then what will be your total earnings that the end of week 20?

3.  If your total earnings up to week 9 are 131.705 dollars, and if you earn money at a constant rate of 15 dollars per week, then at what week will your total earnings be 146.705 dollars?

4.  If an automobile is at milepost 340.2328 after having traveled for 6 hours and at milepost 398.2328 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 37 mph, and is at milepost 171.8751 after having traveled for 5 hours, then what milepost would be after having traveled for 16 hours?

6.  If an automobile is traveling at the rate of 59 mph, and is at milepost 458.012 after having traveled for 8 hours, then after how many hours of travel will it have reached milepost 16?

7.  If the water in a uniform cylinder has depth 71.51243 cm at clock time 7 seconds and depth 83.51243 cm at clock time 18 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 7 cm/second between clock times 6 s and 11 s, and if its depth at clock time 6 seconds is 35.35815 cm, then what is its depth at clock time 11 seconds?