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Stitz-Zeager_College_Algebra_e-book

# For g x 2 we would need x2x7 6 0 x x this gives x 7

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Unformatted text preview: Solution. 450 1. N (0) = 500 − 1+3(0) = 50. This means that at the beginning of the semester, 50 students have had the ﬂu. 450 450 2. We set N (t) = 300 to get 500 − 1+3t = 300 and solve. Isolating the fraction gives 1+3t = 200. 5 Clearing denominators gives 450 = 200(1 + 3t). Finally, we get t = 12 . This means it will 5 take 12 months, or about 13 days, for 300 students to have had the ﬂu. 3. To determine the behavior of N as t → ∞, we can use a table. 8 The graph does, however, seem to resemble a non-constant line as x → ±∞. We will discuss this phenomenon in the next section. 9 Using techniques you’ll see in Calculus. 4.1 Introduction to Rational Functions t 10 100 1000 10000 241 N (t) ≈ 485.48 ≈ 498.50 ≈ 499.85 ≈ 499.98 The table suggests that as t → ∞, N (t) → 500. (More speciﬁcally, 500− .) This means as time goes by, only a total of 500 students will have ever had the ﬂu. 242 Rational Functions 4.1.1 Exercises 1. For each rational function f given belo...
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