Shana created the graph below that presents the relationship between the number of pencils sold and the number of days in school: Part A: In your own words, tell me about the relationship between the number of days in school and the number of pencils sold. (5 points)

Part B: Tell me how you would make the line of best fit on this graph. Find the approximate slope and y-intercept of the line of best fit and tell me what they are. Show me the steps you took to find the slope, including the points that you used to calculate slope. (5 points)

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i. e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)