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

1.  If your total earnings up to week 5 are 26.05523 dollars, and your total earnings up to week 11 are 32.05523 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 14 dollars per week, and if at the end of week 8 your total earnings are 111.3391 dollars, then what will be your total earnings that the end of week 13?

3.  If your total earnings up to week 8 are 63.6362 dollars, and if you earn money at a constant rate of 8 dollars per week, then at what week will your total earnings be 71.6362 dollars?

4.  If an automobile is at milepost 237.548 after having traveled for 7 hours and at milepost 272.548 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 34 mph, and is at milepost 302.6891 after having traveled for 9 hours, then what milepost would be after having traveled for 15 hours?

6.  If an automobile is traveling at the rate of 62 mph, and is at milepost 420.1218 after having traveled for 7 hours, then after how many hours of travel will it have reached milepost 17?

7.  If the water in a uniform cylinder has depth 122.5533 cm at clock time 7 seconds and depth 141.5533 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 17 cm/second between clock times 9 s and 19 s, and if its depth at clock time 9 seconds is 135.6725 cm, then what is its depth at clock time 19 seconds?