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

1.  If your total earnings up to week 9 are 94.69816 dollars, and your total earnings up to week 14 are 105.6982 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 349.6534 after having traveled for 5 hours and at milepost 419.6534 after having traveled for 11 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 41.95747 cm at clock time 7 seconds and depth 49.95747 cm at clock time 15 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 9 dollars per week, and if at the end of week 10 your total earnings are 82.84908 dollars, then what will be your total earnings that the end of week 18?

5.  If an automobile is traveling at the rate of 65 mph, and is at milepost 311.0195 after having traveled for 5 hours, then what milepost would be after having traveled for 12 hours?

6.  If the depth of water in a uniform cylinder is changing at an average rate of 19 cm/second between clock times 5 s and 14 s, and if its depth at clock time 5 seconds is 90.48138 cm, then what is its depth at clock time 14 seconds?

7.  If your total earnings up to week 4 are 52.79634 dollars, and if you earn money at a constant rate of 14 dollars per week, then at what week will your total earnings be 66.79634 dollars?

8.  If an automobile is traveling at the rate of 72 mph, and is at milepost 709.3094 after having traveled for 10 hours, then after how many hours of travel will it have reached milepost 16?