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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

Respuesta :

Answer:

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

Step-by-step explanation:

Here , the given model is [tex]N = -0.033t^2 +0.46t + 13.37[/tex]

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 ,

[tex]N(10) = -0.033(10)^2 + 0.46(10) + 13.37[/tex]

[tex]N(10)= -0.033(100) + 0.46(10) +13.37[/tex]

[tex]N(10)= -3.3 +4.6+13.37[/tex]

[tex]N(10)= 14.67[/tex]

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

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