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Mathematics, 28.10.2020 23:50 amelvin41

1. Mr. Waxman is helping with deliveries for a shipping company. The graph shows a linear model for his delivery times on different days. (a) Identify two points on the line and write the coordinate pairs below.
(b) Use your two points to find the slope, and make sure to show your work.
(c) Use your slope from Part B and find the equation of the line in point-slope form. Show your work and work through the steps to transform the equation from point-slope form into slope-intercept form.
(d) Based on the equation you found in Part C, predict how long it take Mr. Waxman to deliver his packages on Day 0. Approximately how much did his delivery time decrease per day?


a)
b)
c)
d)

2. The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid.
(a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning.
(b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning.
(c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning.
(d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning.
Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).



a)
b)
c)
d)

3. A group of workers is harvesting berries at a constant rate. An equation that represents the total number of baskets of berries the workers picked over a period of time, in hours, is y = 7x + 15.
(a) What are the slope and the y-intercept for the equation?
(b) Which term represents the total number of baskets of berries the workers picked over a period of time?
(c) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.
(d) Use graph below to draw a graph representing the situation. Label the axes appropriately.
a. Note: Insert->Shape will allow you to add lines, draw dots, and otherwise insert shapes in both Microsoft Word and LibreOffice. The graph should be big enough for you to easily plot points using this method.
b. If you do not want to graph using the drawing tools built into Microsoft Word or LibreOffice you may also print out, graph by hand, and scan the page. Please note it’s perfectly okay to upload multiple files.

a)
b)
c)

[Please use graph on next page for Part D]

See attachedments of how it looks. Thank you so much!

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