Maths-
SAT
Easy
Question
T(n)=80+n
S(n)=1,280+30n
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 S(n), respectively.
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
The function for number of teachers T(n) = 80 + n
The value of n when T(n) > 90
80 + n > 90
n > 10 so, we can take n = 11
i.e., 11th year after 2002
2002 + 11 = 2013.
2002 + 11 = 2013.
