Question

One model for the number of students enrolled in U.S. Public high schools as a function of time since 1986 is N = -0.033t2 +0.46t + 13.37. Here N is the enrollment in millions of students, t is the time in years since 1986, and the model is relevant since 2000. Explain

Answer 1

The number of students in a year 2010 is 14.67 millions .

Explanation:

Here , the given model is
`N = -0.033t^2 +0.46t + 13.37`

The model is relevant since 2000.

N(10) represents the number of students enrolled in millions.

10 represent the number of years after 2000

Thus , 10 years after 2000 will be 2010 ,

Now put t =10 in the given model ,

`N(10) = -0.033(10)^2 + 0.46(10) + 13.37`

`N(10)= -0.033(100) + 0.46(10) +13.37`

`N(10)= -3.3 +4.6+13.37`

`N(10)= 14.67`

Hence, the number of students in a year 2010 is 14.67 millions. The correct option is A.