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

1.  If your total earnings up to week 5 are 47.26928 dollars, and your total earnings up to week 16 are 57.26928 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 211.5427 after having traveled for 5 hours and at milepost 256.5427 after having traveled for 13 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 296.6755 cm at clock time 10 seconds and depth 326.6755 cm at clock time 19 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 6 dollars per week, and if at the end of week 10 your total earnings are 59.12149 dollars, then what will be your total earnings that the end of week 20?

5.  If an automobile is traveling at the rate of 35 mph, and is at milepost 257.0588 after having traveled for 8 hours, then what milepost would be after having traveled for 17 hours?

6.  If the depth of water in a uniform cylinder is changing at an average rate of 16 cm/second between clock times 4 s and 14 s, and if its depth at clock time 4 seconds is 55.42054 cm, then what is its depth at clock time 14 seconds?

7.  If your total earnings up to week 7 are 56.20338 dollars, and if you earn money at a constant rate of 9 dollars per week, then at what week will your total earnings be 65.20338 dollars?

8.  If an automobile is traveling at the rate of 62 mph, and is at milepost 540.7233 after having traveled for 9 hours, then after how many hours of travel will it have reached milepost 16?