Assume that sales revenues for Continental Divide Mining can be modeled by R(t) = 20.031t 2 +

Question:

Assume that sales revenues for Continental Divide Mining can be modeled by

R(t) = 20.031t2 + 0.776t + 0.179

where t is the number of years past 2007.

(a) Use the function to determine the year in which maximum revenue occurs and the maximum revenue it predicts.

(b) Check the result from (a) against the data in the table.

(c) Graph R(t) and the data points from the table.

(d) Write a sentence to describe how well the function fits the data.


The data in the table give sales revenues and costs and expenses for Continental Divide Mining for various years.

Sales Revenue Costs and Expenses (millions) Year (millions) 2010 $2.6155 $2.4105 2011 2.7474 2.4412 2012 2.934 2.6378 2013 3.3131 2.9447 2014 3.9769 3.5344 2015 4.5494 3.8171 2016 4.8949 4.2587 2017 5.1686 4.8769 2018 4.9593 4.9088 2019 5.0913 4.6771 2020 4.7489 4.9025

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