The question states that the quadratic approximation P(t) = 1.6t2- 15t + 41 is valid until 2011 (year t = 6). We can test the model for later years. What net income does the model predict in 2015? The year 2015 corresponds to the year t 10, so substitute this value to determine the net income prediction in 2015. P(t) = 1.6t2 - 15t + 41 - 15(10) + 41 %3D The model predicts that the company's net income in 2015 is than five times as much as the prediction for 2009. Over time, the model predicts that income will billion dollars, which is more --Select--- Therefore, we ---Select-- v trust the model past 2011, because the net income will --Select--

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The question states that the quadratic approximation P(t) = 1.6t2- 15t + 41 is valid until 2011 (year t = 6).
We can test the model for later years.
What net income does the model predict in 2015? The year 2015 corresponds to the year t = 10, so
substitute this value to determine the net income prediction in 2015.
P(t) = 1.6t2 - 15t + 41
= 1.6(
1- 15(10) + 41
%3D
The model predicts that the company's net income in 2015 is
billion dollars, which is more
than five times as much as the prediction for 2009. Over time, the model predicts that income will
-Select--
Therefore, we --Select-- v trust the model past 2011, because the net income will
-Select--
Transcribed Image Text:The question states that the quadratic approximation P(t) = 1.6t2- 15t + 41 is valid until 2011 (year t = 6). We can test the model for later years. What net income does the model predict in 2015? The year 2015 corresponds to the year t = 10, so substitute this value to determine the net income prediction in 2015. P(t) = 1.6t2 - 15t + 41 = 1.6( 1- 15(10) + 41 %3D The model predicts that the company's net income in 2015 is billion dollars, which is more than five times as much as the prediction for 2009. Over time, the model predicts that income will -Select-- Therefore, we --Select-- v trust the model past 2011, because the net income will -Select--
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