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MBA IT, Mater in Science and Technology
Devry Jul-1996 - Jul-2000
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Devry University Mar-2010 - Oct-2016
Category > MathPosted 19 Apr 2017My Price8.00
an interactive music museum in Seattle
Please look at these two questions and let me know if you can work on them
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1. Experience Music Project, an interactive music museum in Seattle, charged adult visitors a $19.95 admission fee in 2005. Groups of 15 or more could enter for $14.50 per person.†(a) Create a table for group cost as a function of group size. (Show the cost for groups of 1 to 20 people.) Siz e 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Cost 17 18 19 20 (b) Write the total cost of admission, C, as a function of the number of people in a group, n. Confirm that the function and the table from part (a) are in agreement. C(n) = n < 15 , n ≥ 15 , (c) Calculate the cost of admitting a group of 14 people and the cost of admitting a group of 15 people. group of 14 people group of 15 people $ $ (d) Determine the largest group you could bring in and still remain below the cost of a 14person group. A group of people at a cost of $ . 2. In recent years, the number of married mothers who choose to stay at home to care for their families and bypass an outside career has increased. The function M(t) = 948.2 1 + 27.23e−1.110t + 4700 models the number of married couple families with stay-at-home mothers (in thousands) as a function of the number of years since 1999, t.†(a) Describe what the rate of change of the function tells about how the number of married, stay-at-home mothers is changing over time. As time increases, the number of stay-at-home mothers is at rate and then until at rate . (b) Estimate the coordinates of the inflection point. (Round your answers to the nearest whole number.) (t, M(t)) = Explain what each value means in this context. In this context, years after 1999, the number of stay-at-home mothers is thousand and the rate of will begin to after this year. (c) Find the average rate of change from t = 4 to t = 7 for the function. (Round your answer to two decimal places.) Explain the meaning of this rate of change. The number of stay-at-home mothers is thousand each year from the year by an average of to . (d) What are the limiting values for the function? (Round your answers to the nearest whole number.) lower limiting value upper limiting value What do they mean in the context of the stay-at-home mothers? The lower limiting value of thousand is the number of stay-at-home mothers of mothers . The upper limiting value thousand is the number of stay-at-home .