Concept explainers
Modeling Data The table shows the net sales x (in billions of dollars), the total assets y (in billions of dollars), and the share holder's equity - (in billions of dollars) for Walmart for the years 2010 through 2015. (Source: Wal-Mart Stares, Inc.)
Year |
2010 |
2011 |
2012 |
2013 |
2014 |
2015 |
x |
405.0 |
418.5 |
443.4 |
465.6 |
473.1 |
482.2 |
y |
170.7 |
180.8 |
193.4 |
203.1 |
204.8 |
203.7 |
z |
70.7 |
68.5 |
71.3 |
76.3 |
76.3 |
81.4 |
A model for the data is
(a) Complete a fourth row in the table using the model to approximate ? for the given values of x and y. Compare the approximations with the actual values of x.
(b) Which of the two variables in this model has more influence on share holder's equity? Explain.
(c) Simplify the expression for f(x, 150) and interpret its meaning in the context of the problem.
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Multivariable Calculus
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