b) Choose one o f the graphs in part a that did b) is the atomic number o f

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1 REVIEW ad f^l^h^s. Ths table shows soe Northwest Coast artsts ad ther cultural hertage. Artst Hertage Bob Depse Tlgt Doroth Grat Hada Bll Hel Tssha Joh Joseph Squash Judth P. Morga Gtxsa Bll Red Hada a) Wrte the fucto as a equato varable b) Idetf the depedet varable ad the depedet varable. Justf our choces. c) Detere the value o f P(5). What does ths uber represet? d) Detere the value o f whe P( ) = 7. What does ths uber represet? 6. a) Laura ccles hoe f r o school, the walks back to school. W h c h graph best atches ths stuato? Expla our choce. Graph B JI " «J a) Descrbe the relato words. \ ) as a arrow dagra I U Graph C. Here s a lst o f soe checal eleets ad l u Q» Ter II a ) as a set o f ordered pars C "T~ *» b) Represet ths relato: ur; V- - to Salsh ; O a. P v»st a Susa Pot Graph A Graph D.. :- r\ r to * J H \.\ ther atoc ubers: II hdroge (), oxge (8), ro (6), t: fl Dsta chlore (7), carbo (6), slver (47) For each assocato below, use these data to : : \ (Te; represet a relato dfferet was. a) has a atoc uber o f b) Choose oe o f the graphs part a that dd b) s the atoc uber o f ot descrbe Laura's oure. Descrbe a possble stuato f o r the graph. 7. Ths graph shows the volue o f water La's. Whch sets o f ordered pars represet fuctos? flask as he hkes the Tras Caada tral. What strateges d d ou use to f d out? Water La's Flask a) {(4, ), (4, ), (4,), (4,)} b) { (, 4 ), ( -, 4 ), (,9), ( -, 9 ) } ' c) {(, 8), (,), (4,6), (5, )} d) {(5, 5), ( 5, - 5 ), ( - 5, 5), ( - 5, - 5 ) } 4. Wrte f u c t o otato. a) = -Ax + 9 b) C = «+ 75 c) D = - * + 5 d) P= 4s 5. The fucto P() = 5 descrbes the c..d - cu ]. 5- ~r~, [ I 6 Dstace (k) proft, P dollars, for a school dace whe studets atted. a) Descrbe what s happeg for each le seget o f the graph. b) H o w a tes d d La fll hs flask? 6 Chapter 5: Relatos ad Fuctos B

2 c) H o w uch water was La's flask at the. For the graphs below: start o f hs hke? a) What does each graph represet? d) Idetf the depedet ad depedet b ) Idetf the depedet ad depedet varables. varables. c) Wrte the doa ad rage f o r each graph. Estate whe ecessar. Are there a restrctos o the doa ad rage? Expla. d) W h are the pots oed o oe graph but The data below show how the teperature o f ot o the other? bolg water as t cools s related to te. ) a) Graph the data. D d ou o the pots? Graph A t -to o ou tell? E Teperature ( C) " 5 - to.^^:..^r.^-:^,..:: E= f sc -.- Ar\. h o; >u c 7-89 to ; )U b ) Does the graph represet a fucto? H o w ca Graph B V Wh or wh ot? Te () ) H sght of ar. J : :: *? f>u h 5 ' sg htoar (c. Ths s a graph of the f u c t o f ( x ) = x+. -x + 9. Whch o f these graphs represets a fucto? Justf our aswer. Wrte the doa ad rage for each graph, a ) Heghts ad Ages of 8 Studets a) Detere the rage value whe the o. doa value s. 5 sz 'a> b ) Detere the doa value whe the rage value s 4. x wsou 5 7. Sketch a graph o f a f u c t o that has each doa ad rage. -Age^ears) a) doa: < x < 5; rage: ^ ^ b) Nuber of Bccles at School b ) doa: x < ; rage: < < II > J t V c I. W h c h sets o f ordered pars represet lear * P - w relatos? Expla our aswers. r\ U <> 8: 6 Tr e a) { (, 5 ), (5, 5), (9, 5), (, 5)} b) {(,),(,4),(,6),(,8)} c) { ( -, - ), ( -, - ), (,), ( 4, - ) } Revew 7

3 4. a) For each equato, create a table o f values 7. These graphs show the teperature, whe ecessar, the graph the relato. ) x= Tdegrees Celsus, as a fucto o f te, t hours. Match each graph w t h ts vertcal tercept ad rate of ) = Ix chage. + ) = x + v) = v) = x v) x + = b) Whch equatos part a represet lear relatos? How do ou kow? 5. Isabelle aages her dabetes b takg sul to cotrol her blood sugar. The uber o f uts o f sul take, N, s gve b the equato N = g, where g represets the uber o f gras o f carbohdrates cosued. a) Expla wh the equato represets a lear relato. b) State the rate of chage. What does t represet? ES ) - C ; - C h 6. Ths graph shows the dstace, d etres, ) C; - C h travelled b Jada o her bccle as a fucto ) - C ; C h of the uber o f wheel revolutos,, as she rode f r o Whtehorse to the Gre Mouta Road lookout the Yuko. 8. Ths graph shows the proft, P dollars, o a copa's sale o f baseball caps. Jada's Bccle Trp 46- ; of t ( Q8 6 4 Nuber of revolutos a) H o w far was Jada f r o the lookout whe she started her bccle trp? 6- ) 4c ( 5 <_> P 8 u Nuber sold a) H o w a baseball caps have to be sold before the copa begs to ake a proft? b) Wrte the doa ad rage. b) What s the proft o the sale o f each c) Detere the rate o f chage. What does t represet? c) H o w a caps have to be sold to ake each d) Use our aswer to part c to detere the daeter o f a bccle wheel. baseball cap? proft? ) $6 ) $ d) I part c, whe the proft doubles wh docs the uber o f baseballs caps sold ot double? 8 Chapter 5: Relatos ad Fuctos

4 Ke Chapter 5: Revew, page 6. a) The table shows a relato wth the assocato "has ths cultural hertage" fro a set of artsts to a set of Frst Natos hertages, b) ) As a set of ordered pars: (Bob Depse, Tlgt), (Doroth Grat, Hada), (Bll Hel, Tssha), (Joh Joseph, Squash), (Judth P. Morga, Gtxsa), (Bll Red, Hada), (Susa Pot, Salsh)} As a arrow dagra: s the atoc uber of ) As a arrow dagra: has ths cultural hertage^ Bob Depse, Doroth Grat- Bll Hel, Joh Joseph- Judth P. Morga' Bll Red' Susa Pot'. Represetatos a var. For exaple: Eleet ; Gtxsa ; Hada f Salsh Squash 'Tlgt Atoc Nuber carbo 6 chlore 7 hdroge ro 6 oxge 8 slver 47 As a arrow dagra: has a atoc uber of ^Tssha As a set of ordered pars: (l, hdroge), (6, carbo), (8, oxge), (7, chlore), (6, ro), (47, slver)}. a) Not a fucto b) Fucto c) Fucto d) Not a fucto 4. a) {x) = -4x + 9 b) C(?)= + 75 c) D() = -+ 5 d) >(.*) = 4.v 5. a) P = 5 - b) Idepedet varable: \ depedet varable: P c) P( 5) = 45; f 5 studets atted the dace, the proft s $45. d) = ; the proft s $7 whe studets atted the dace. 6. a) Graph A b) Aswers a var. For exaple: Graph D could represet Laura's oure to school to pck up her bke. She walks to school, the pcks up her bccle ad rdes hoe. 7. b) tes c). L of water d) Depedet varable: volue of water La's flask; depedet varable: dstace La hkes 8. a) oed the pots because all tes betwee ad are perssble ad all teperatures betwee 5 C ad 89 C are perssble. Teperature over Te As a set of ordered pars: {(carbo, 6), (chlore, 7), (hdroge, ), (ro, 6), (oxge, 8), (slver, 47)} Atoc Nuber Eleet hdroge 6 carbo 8 oxge 7 chlore 6 ro 47 slver b) The graph represets a fucto because a vertcal le draw o the graph passes through oe pot. 9. Estates a var. a) Not a fucto; doa: {, 4, 5, 6, 7}; rage: {59, 6, 65, 68, 7, 74, 76} b) Fucto; doa: {8:, :, :, 4:, 6:, 8:}; rage: {, 5,,, 5}

5 . a) ) Graph A represets the volue of a ar, cubc cetetres, as a lear fucto of ts heght, cetetres. ) Graph B represets the uber of arbles aar as a lear fucto of the ar's heght, cetetres. b) c) ) Idepedet varable: heght of the ar, h; depedet varable: volue of the ar, V ) Idepedet varable: heght of the ar, h; depedet varable: uber of arbles the ar, ) Estates a var. For exaple: Doa: 5 < < ; rage: approxatel 4 <V< 575 ) Doa: {5,, 5, }; rage: {4, 8, 4, 56} d) The pots are oed Graph A because t s possble for aar to have a heght betwee 5 c ad c ad a volue betwee 4 c ad 575 c. The pots are ot oed Graph B because ol whole ubers of arbles are perssble.. a) - b) -l. Graphs a var. For exaple: a) A. =f(x) ; v) I = I o., 4 ~ " I \ - \ \ a.. o, A *T 8- ' 4- r } Fx + f = x - J AA-.. \s x -. : x + = N. >4. a) Lear relato b) Lear relato c) Not a lear relato 4. Tables of values a var. For exaple: a) ) U x = - Table: = V ' \ - I u - 8- \ < f T" J : b),, v, v, v 5. a) The equato represets a lear relato because, whe g chages b l, N chages b. b) ; For ever l g of carbohdrate that Isabelle cosues, she gves herself of a ut of sul a) 6, or 6 k b) Doa: < < 8 ; rage: < d < 6 c) Approxatel. revoluto; oe revoluto of the wheel, the bccle covers a dstace of approxatel. d) Approxatel.68, or 68 c 7. a) b) c) 8. a) caps b) $4 c) ) 5 caps ) 5 caps d) The proft depeds o the sale of caps ad the tal cost of $8 to bu or ake the caps. So, doublg the uber of caps does ot double the proft.

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