The following table gives the total revenues of Cablenet Communications for selected years.
Year Total Revenues (millions)
2012 ……………………….. $63.13
2013 ……………………….. 62.91
2014 ……………………….. 60.53
2015 ……………………….. 60.27
2016 ……………………….. 61.10
2017 ……………………….. 62.19
2018 ……………………….. 63.09
2019 ……………………….. 64.90
2020 ……………………….. 67.16
Suppose the data can be modeled by the equation
R(t) = 0.271t2 – 2.76t + 67.83
where t is the number of years past 2010.
(a) Use the function to find the year in which revenue was minimum and find the minimum predicted revenue.
(b) Check the result from part (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.
