9.7: Rational Equations and Applications- Answers to the Homework Exercises

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Rational Equations

$-\dfrac{1}{2},\dfrac{2}{3}$

$2$

$-5$

$\dfrac{16}{3},5$

$-\dfrac{1}{5},5$

$0,5$

$\dfrac{2}{3}$

$-\dfrac{2}{3}$

$-10$

$-3,1$

$\dfrac{1}{3}$

$5,10$

$2$

$10$

$-1$

$1$

$1$

Rational Inequalities

$(-1,3)$

$(-1,\infty )$

$(-\infty, 0)\cup (5,9)$

$[-12,1)\cup [4,\infty )$

$(-\infty, 0]\cup [2,3)$

$(\infty, -6]\cup (4,\infty )$

Work-Rate Problems

$4$ and $6$ hours

$2$ and $3$ hours

$4$ and $12$ hours

$1\dfrac{1}{3}$ days

$8$ days

$2$ days

$9$ hours

$16$ hours

$15$ hours

$5\dfrac{1}{4}$ minutes

$24$ min

$6$ and $12$ hours

$7$ and $17\dfrac{1}{2}$ minutes

$21$ and $15$ minutes

Uniform Motion Problems

$60$ km/hr, $80$ km/hr

$200$ km/hr

$3.033$ km/hr

$30$ mph, $40$ mph

$36$ mph

$40$ mph, $60$ mph

$4$ mph

Revenue Problems

$12$

$24$

$20$

$25$ and $$18$ each

Graphs of Rational Functions

$clipboard_e5e2b35788c076bf2aa2249a3dca4241c.png$
Figure 9.7.1

$clipboard_e67ed060914a0dbae5dd5562e4341e02f.png$
Figure 9.7.2

$clipboard_eb8a8a8868d6ab637b7d9705ade6cec95.png$
Figure 9.7.3

$clipboard_e6576a61fd0ffffb71fe0af05b34f6a58.png$
Figure 9.7.4

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