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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 the formula below.

N = 0.05t2 − 0.42t + 12.33

Here N is the enrollment in millions of students, t is the time in years since 1986, and the model is relevant from 1986 to 1996.

(a) Use functional notation to express the number of students enrolled in U.S. public high schools in the year 1988.
N )

million students

(b) Explain in practical terms what N(6) means.

Oct 3rd, 2015

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$N = 0.05t^2-0.42t+12.33$

(a)

t is the time in years since 1986

For the year 1988, t = 1988 - 1986 = 2

So functional notation is N(2).

$N(2) = 0.05\times2^2-0.42\times2+12.33=11.69\approx11.7$ million students

(b)

N(6) means number of students enrolled in U.S. public high schools in the year (1986 + 6 =)1992.

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Sep 21st, 2015

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