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Question
The given equations model the number of teachers and students in a high school from 2002 through 2017. In the equations, n is the number of years after 2002 , where n is a whole number less than or equal to 15 . The predicted number of teachers and students are T(n) and, respectively.
Which of the following is the graph of function ?
Based on the model, what is the first year in which the predicted number of teachers will be greater than 90 ?
- 2014
- 2013
- 2012
- 2011
The correct answer is: 2013
Given condition is T(n) > 90 ⇒ 80 + n > 90 ⇒ n >10 ; min possible value of n = 11.
So 11 years after 2002 = 2013.
∴ 2013 is the first year where predicted no.of teachers will be greater than 90
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