The annual net income of a company for the period 2007–2011 could be approximated by P(t) = 1.6t2 − 15t + 44 billion dollars (2 ≤ t ≤ 6), where t is the time in years since the start of 2005. According to the model, during what year in this period was the company's net income the lowest? t = What was the corresponding net income in billions of dollars?
The annual net income of a company for the period 2007–2011 could be approximated by
P(t) = 1.6t2 − 15t + 44 billion dollars (2 ≤ t ≤ 6),
where t is the time in years since the start of 2005. According to the model, during what year in this period was the company's net income the lowest?
t =
What was the corresponding net income in billions of dollars? (Round your answer to one decimal place.)
billion dollars
Would you trust this model to continue to be valid long past this period? Why or why not?
Over time the model predicts that income will continue to increase, therefore, we should trust the model past 2011 as the net income will fall back to a reasonable level.
Over time the model predicts that income will eventually decrease, therefore, we should trust the model past 2011 as the net income will become unrealistically large.
Over time the model predicts that income will continue to increase, therefore, we should not trust the model past 2011 as the net income will become unrealistically large.
Over time the model predicts that income will eventually decrease, therefore, we should not trust the model past 2011 as the net income will fall back to a reasonable level.
Over time the model predicts that income will eventually decrease, therefore, we should trust the model past 2011 as the net income will fall back to a reasonable level.
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