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7.6, Proportions and Problem Solving

# 7.6, Proportions and Problem Solving - 7.6 Proportion and...

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Unformatted text preview: 7.6: Proportion and Problem Solving with Rational Equations Definitions Ratio —the quotient or comparison between two quantities usually written as a fraction Proportion __ an equation or mathematical statement stating two ratios are equal 1 4 o — = — 2 8 , o In proportions the cross-products are equal a C ' E _ E . ad = [96 Examples Math 096, Flesher, FAll 7.6: Proportion and Problem Solving with Rational Equations Applications 1. To estimate the number of people in Jackson, population 50,000, who have the flu shot, 250 were polled. Of those polled, 26 had a flu shot. How many people in the city might we expect to have a flu shot? goﬂqt _-———---"'“ 2.50 r 50) 000 2c; (50,000) :- geork \, 36:0’ 000 7‘ 250 7L E3200 *- 3L 2. Similar Triangles — same shape but not necessarily the same size. Measures of corresponding angles are equal and measures of corresponding sides are proportional. Given the similar triangles below, find the missing side. \9. K K 0\ ‘ \5 1 Cl l ___._.--— /—- 0r 3-7L 7K \5 "3 (4’75; “LUV-ﬂ : cm who): 41» \so i-Clwk \f50 Mini 20 :erL 20 :1 \L Math 096, Flesher, FAll 7.6: Proportion and Problem Solving with Rational Equations 3. The quotient of a number and 2, minus 1/3 is the quotient of the number and 6. Find the number. ’BL, ___\__ __ 1 Chet/l6 Z 5 _ [0 L \ , L 2'? “ lo L66 LCD ‘7" (a (y (’1 ’ \ y = {9 3L; \ :5 '3' to (p l _\, =lo —— No5: Cmsg—pi.-bc\mpi\ 7 ) (2 {Q C ‘03: to X EL- to. 3‘ 2 ‘ “3: "‘ :1. 5 53L "9— : ”X 6'9 5‘ W * 2 = -2sL \ =X 4. (Work Problem) If person A takes 3 hours to do a job and person B takes 5 hours to do the same job, how long should it take if they work together? \g perscmA MKZS 3 \nmrg) Jr‘lnen \n A, “0“ng Cir 301:) ‘8 done, \ ”yb B ”tales ENOUWS, JAN,“ "m Lhouw) lg o 304 SD 'm ”L u‘mi’s 61% John!) m :3.— \(YOUUF’ ﬁlm IA, 39v). is done. W6 {glob/Ate 490636 OWNDU‘ABVSL ‘ 5‘53“ . h {0’ g Jr 5 (X ”A306 sew g... l ﬂ. . dth. air Px ' ~.§§M*PL V5 Arc—inns? WM,- *0 56m“ Ad SOME use LCD =‘5’i'\ Math 096, Flesher, FA11 ‘ ‘ 5% +-o)¢\$::5 6,8 -.= V515 \w5. 7.6: Proportion and Problem Solving with Rational Equations 5. (Work problem) A painter can paint a sign in 4 hours. His assistant can paint the same sign in 6 hours, how long will it take is they paint the sign together? mom std-lo Jr boom mic; .: won: raise trays-thew qt: "nmc, “toga—knew gl’” 6. (Distance problem: d = r*t 9 distance = rate * time) A car travels 600 miles in the same time that a motorcycle travel 450 miles. If the car’s speed is 15 mph more than the motorcycle's, find the speed of the car and the speed of the motorcycle. v: azm "r‘m “""' J; \ JC€m~r ' at Wyn)“, etc 1. éﬂ Va, Y} bm\\A\ qut) “9:1 2: M n: \‘5 rm 4:50 Lr H6 3 f (900 rm” Math 096, Flesher, FA11 ‘ ...
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