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

1.  If your total earnings up to week 6 are 65.95385 dollars, and your total earnings up to week 15 are 76.95385 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 an automobile is at milepost 411.5479 after having traveled for 6 hours and at milepost 481.5479 after having traveled for 12 hours, then what is its average speed? Why do we say average speed rather than just speed?

3.  If the water in a uniform cylinder has depth 36.14104 cm at clock time 5 seconds and depth 45.14104 cm at clock time 11 seconds, then at what average rate is the depth changing? What we say average rate rather than just rate?

4.  If you are earning money at an average rate of 15 dollars per week, and if at the end of week 7 your total earnings are 102.987 dollars, then what will be your total earnings that the end of week 13?

5.  If an automobile is traveling at the rate of 62 mph, and is at milepost 246.7493 after having traveled for 4 hours, then what milepost would be after having traveled for 13 hours?

6.  If the depth of water in a uniform cylinder is changing at an average rate of 8 cm/second between clock times 10 s and 20 s, and if its depth at clock time 10 seconds is 55.12573 cm, then what is its depth at clock time 20 seconds?

7.  If your total earnings up to week 6 are 89.28947 dollars, and if you earn money at a constant rate of 15 dollars per week, then at what week will your total earnings be 104.2895 dollars?

8.  If an automobile is traveling at the rate of 37 mph, and is at milepost 367.1429 after having traveled for 10 hours, then after how many hours of travel will it have reached milepost 16?