question form

Mth 272

Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.

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Yes

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Assignment 0 submission procedure

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Hello, I am a bit confused on how to submit assignment 0 from the calculus I introductory set. The instructions on the web page say to save it as a txt and submit it over email, but I thought we were to submit everything through the submit work link. What would you like?

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Since instructions were ambiguous, either way would be fine, but the form is preferred and should be used on subsequent assignments.

question form

Mth 272

Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.

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yes

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Misunderstanding of directions on the second set of introductory Calculus 1 problems, second set.

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The directions say this for the second set:

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

The problem is that I cannot figure out how to describe a picture OR construct a graph for the type of questions that are on the assignment. below is the first question and my response to it. I have no picture or graph because I cannot possibly understand how to set up a picture and graph for it, but please check over my response and see if it is adequate for this introductory assignment (Assignment 0 for applied calc. II)

1. If your total earnings up to week 7 are 98.73873 dollars, and your total earnings up to week 12 are 113.7387 dollars, then what are your average earnings per week? Why do we say average earnings per week rather than just earnings per week?

Response:

First you find the average per week earnings for the first 7 weeks. 98.73873/7= $14.10553 per week for the first 7 weeks.

Then I subtract the first 7 earnings from total 12 weeks, which leaves the dollars earned in the last 5. 113.7387-98.73873=$15.05997 total for the remaining 5 weeks. I then divide that number by 5 to come up with the weekly earnings for that period. 15.05997/5= $3.01199 per week. To get the average per week for the entire 12-week period, I have to add the two period’s weekly earnings together and then divide by 2.

(3.01199+14.10553)/2= average of $8.56 earnings per week. We say average because it is not an exact representation of the earnings each week, but rather an estimate, assuming fluctuation, for the whole period.

Good response. You could graph the situation by constructing a graph of total earnings versus time in weeks. The points in your graph would be (7, 98.7) and (12, 113.7). The rise between two points would correspond to the change in earnings, the runner would correspond to the change in the time, so the slope which is equal to the rise divided by the run will represent change in earnings/change in time = average rate at which money is earned.

Note that you cannot find the average earnings per week for the 12 week period unless you know what the total earnings were at the beginning of the period. Total earnings could be measured from any starting point. So the only thing you know about is earnings during the given interval from 7 weeks to 12 weeks.