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

1.  If your total earnings up to week 5 are 44.54854 dollars, and your total earnings up to week 16 are 53.54854 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 9 dollars per week, and if at the end of week 5 your total earnings are 41.44204 dollars, then what will be your total earnings that the end of week 14?

3.  If your total earnings up to week 6 are 60.78061 dollars, and if you earn money at a constant rate of 11 dollars per week, then at what week will your total earnings be 71.78061 dollars?

4.  If an automobile is at milepost 327.0058 after having traveled for 6 hours and at milepost 382.0058 after having traveled for 16 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 42 mph, and is at milepost 161.4853 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 229.4248 after having traveled for 4 hours, then after how many hours of travel will it have reached milepost 13?

7.  If the water in a uniform cylinder has depth 147.2208 cm at clock time 5 seconds and depth 179.2208 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 10 cm/second between clock times 6 s and 16 s, and if its depth at clock time 6 seconds is 59.76428 cm, then what is its depth at clock time 16 seconds?