y\ 1 Target E-2 Extra Practice r i r Date: Name: 1. a) What is the approximate value of d when t = 3? Explain the method you used.

Transcription

1 Target E-2 Extra Practce. a) What s the approxmate value of d when t = 3? Explan the method ou used. b) What s the approxmate value of t when d = 300? 4 <»-> c o d> taa - Ov 0 - ~ r H - \ V/ \ * fla,! w "!!? ~ : 4 t! Tme( 4_ (h) _ 2. a) What s the approxmate value of when x = -.5? b) What s the approxmate value of x when = 0? 3. a) What s the approxmate value of when x = 3.5? - J \ A.. \ ''''! \ M 0 tta..! A ^!" O J ~_L -. \ A. r ] * 'a... L...!'! \ _ J r r ;... 3 o 3, x b) What s the approxmate value of x when = 0.5? Coprght McGraw-Hll Rerson, 2009

2 (contnued) 4. a) n the del secton of a grocer store, Greek salad costs $.50 per 00 g. Plot the data on a graph. Mass of Greek Salad, m (g) Cost, C ($) b) From the graph, determne the cost of 800 g of Greek salad. c) From the graph, determne how much salad ou get for $ A car rental compan charges a flat rate of $35.00 plus $0.45 per klometre for rentng a car. The graph shows the cost of rentng a car based on the number of klometres drven. a) s t reasonable to nterpolate or extrapolate values on ths graph? YES NO Explan. b) What s the rental cost after drvng 300 km? O u c, > a r F [en tal Co st r cn. J w OA. w AA DU -3/V-. J7 0! S.J v! r- 5 p 00! 0 2^0 2! ;o d Dstam e (t m){ ' l c) Approxmatel how man klometres can be drven for a rental cost of $5? Coprght McGraw-Hll Rerson, 2009

3 Extra Practce Answers (contnued). a) 275 km. Example: Locate 3 on the x-axs, and then fnd the correspondng coordnate on the /-axs, b) 3.33 h 2. a) 3.5 b) a) -0.8 b) -4 T T 0D TP M 0-s< 0 00 m r vn S g) (, b) $2.00 c) 700 g 5. a) Example: t ma be reasonable onl to nterpolate or extrapolate based on whole klometres because the rental compan ma not charge for partal klometres, b)$70 c) 77 km Coprght McGraw-Hll Rerson, 2008

4 Target E-2 Extra Practce (contnued). Sur drves at an average speed of 90 km/h. The equaton relatng dstance, d, and tme, t, s d = 90t. a) Complete a table of values to represent the relaton. b) Show the relatonshp on a graph. c) How long does t take Sur to drve 630 km? 2. For each lnear equaton, create a table of values and a graph. a) b = -2a - 5 b) t = -3 c) g = Create a graph and a lnear equaton to represent each table of values, a) Y b) a c) t d The graph shows the relatonshp between the fuel consumpton, f, n ltres (L), and the dstance drven, d, n klometres (km). a) What s the lnear equaton? 2 a ""3 ]40~ (A C h f> =uel Con: sumpton f - {- - [ ( 0 3<p ( _!. b) How far could ou drve wth 34 L of gas? Ds :an< e (km) T. c) s t approprate to nterpolate or extrapolate values on ths graph? What assumpton s beng made? Explan. d Coprght McGraw-Hll Rerson, 2006

5 (contnued). a) Example: Extra Practce Answers Tme, t (h) Dstance, d(km) V c u m '*> Q (A tu T / b f f p ' ( h) c) 7 h 2. Examples: a) a b *00- Nr s D r> re («"»? +ob r \ b la L T S 0 f -3J5--,, L *] M ' b) t t - f,! L Sl. t L > " - Coprght McGraw-Hll Rerson, 2008

6 (contnued) f g < 0 f "" r 0~k- D f \ Coprght McGraw-Hll Rerson, 2006

7 Q Target E-2 ^ Extra Practce 2 (contnued) Lesson 4.2: Lnear Relatons. For each table of values below: ) Does t represent a lnear relaton? ) f the relaton s not lnear, explan how ou know. ) f the relaton s lnear, descrbe t. b) c) d) Each table of values represents a lnear relaton. Complete each table. Explan our reasonng. b) c) Create a table of values for each lnear relaton and then graph the relaton. Use values of x from -2 to 2. a) = x + 4 b) = 2x+ C)>> = 5-2JC 4. A computer repar compan charges $80 for a servce call, plus $50 an hour for labour. a) Create a table to show the relaton between the tme n hours for the servce call and the total cost. b) s ths relaton lnear? Justf our answer. c) Let n represent the tme n hours for the servce call and C represent the total cost n dollars. Wrte an equaton that relates C and n. d) How much wll a 7-h servce call cost? Coprght McGraw-Hll Rerson, 2008

8 Extra Practce 2 Answers Lesson 4.2. a) b) c) d) ) Yes ) As x ncreases b, ncreases b 7. ) No ) As x ncreases b 2, does not ncrease b a constant number. ) Yes ) As x decreases b 2, ncreases b 3. ) No ) As x ncreases b, does not ncrease b a constant number. 2. a) b) c) a) As x ncreases b, ncreases b 4. b) As x ncreases b 2, decreases b 4. c) As x decreases b 2, ncreases b a) b) c) a) \ / -2 0 : - r -! x a) Tme, n Total Cost, C ($) hours b) Yes, as the tme n hours ncreases b, the total cost ncreases b $50. c) C = 50n+ 80 d) $430 Coprght McGraw-Hll Rerson, 2006

9 Q Target E-2 ^) Extra Practce 3 (contnued) Lesson 4.3: Another Form of the Equaton for a Lnear Relaton. Does each equaton descrbe a vertcal, a horzontal, or an oblque lne? Descrbe each vertcal or horzontal lne. a) = 4 b) 2x+5 = 7 c) 2x- = 6 d) 3^ + 9 = 0 2. Whch equaton below descrbes each graph? a) b) : Lcx r -re: )x = 2 ) v = 2 r *! o. \ -3.0 {--)!! )x = -2 v) = The sum of two numbers s 8. Let x and represent the two numbers. a) Create a table for 5 dfferent values of x. b) Graph the data. Should ou on the ponts? c) Wrte an equaton that relates x and. 4. Graph each lne. Explan our work. a) x = 4 b) 2 = 6 c)v-2 = -6 d)2x + 3 = 8 5. For each equaton below: Make a table for the gven values of x. Graph the equaton. a) 3x + = 3; for x - -2, 0, 2 b) x - 2 = 8; for x = -2, 0, 2 6. a) Graph these equatons on the same grd. x + = 6 = x- = -6 b) Whch shape s formed b these lnes? Coprght McGraw-Hll Rerson, 2008

10 (contnued) Extra Practce 3 Lesson 4.3. a) The graph s a horzontal lne that ntersects the -axs at 4. b) The graph s a vertcal lne that ntersects the x-axs at. c The graph s an oblque lne. d) The graph s a horzontal lne that ntersects the -axs at a) = 2 b) x = a} ables ma var.! M J_ Vx + =8 \ 0 4 ; 8\ M M b) Yes, the ponts should be oned because x and can have an value between the plotted ponts. c) x + = 8 4. a) A vertcal lne that ntersects the x-axs at 4 b) A horzontal lne that ntersects the -axs at 3 c) A horzontal lne that ntersects the -axs at -4 d) A vertcal lne that ntersects the x-axs at x + = b) x-2 = ;2 = 4-4 = 3 r u xh :0! - f2 6. a) x + = 6 x - = { f ^ ' -2 ;0 2-2 b) An sosceles trangle 2 = 8 Coprght McGraw-Hll Rerson, 2006

11 Target E-2 ) Extra Practce 4 (contnued) Lesson 4.4: Matchng Equatons and Graphs. Match each equaton wth a graph on ths grd. a) = 2x-l b) v = -x + 4 c) = 3x-3 c/ B // 2. Match each equaton wth a graph on ths grd. a) = -\ b) 0 = -JC+ A: c) 2 = 2x-3 \! -2 L \ A -2 '0! ; 4 \! (0 7! x C ; o Match each equaton wth a graph on ths grd. Justf our answers. a) x + = 5 b) x- = 5 c) x+ = Whch equaton descrbes ths graph? Justf our answers. a) = x + 2 b) = -x + 2 c) = x-2 ; 3! 'x /; o 444! 5. Whch equaton descrbes ths graph? Justf our answers. a) x- = 4 b) x-4 = 4 c) 4x-=l - (, _ - -4!-:! o. ^ 4 ^^4t~C Coprght McGraw-Hll Rerson, 2008

12 (contnued) Extra Practce 4 Answers Lesson 4.4. a) Graph C b) Graph A c) Graph B 2. a) Graph C b) Graph A c) Graph B 3. Students should make tables of values, or choose ponts on each lne, then substtute coordnates n each equaton. a) Graph C b) Graph B c) Graph A 4. Students should make tables of values, or choose ponts on each lne, then substtute coordnates n each equaton. = x x - 4 = 4 Coprght McGraw-Hll Rerson, 2006

13 Q Target E-2 ) Extra Practce 5 (contnued) Lesson 4.5: Usng Graphs to Estmate Values. Ths graph represents a lnear relaton. a) Determne the value of x for each value of. ) =\ ) = 3 ) = 0 b) Determne the value of for each value of x. ) x = 2 ) x = 8 ) x = -6 - f l! * \ *-2! * 2. Ths graph represents a lnear relaton. a) Determne the value of x for each value of. ) v = 3 )>> = -2 ) = 7 b) Determne the value of for each value of x. ) x = 0 ) x = -2 ) x = Ths graph represents a lnear relaton. a) Determne the value of x for each value of v. ) = 2 \) = 0 ) = 5 b) Determne the value of >> for each value of x. ) x = 0 ) x = 3 ) x = The graph shows how the cost of a long dstance call changes wth the tme for the call. a) Estmate the cost of a 7-mn call. s ths nterpolaton or extrapolaton? Explan b) The cost of a call was $.00. p--~ Estmate the tme for the call. c) The cost of a call was $ Estmate the tme for the call. t ; «o-.so!!!! : : : u / -Z A> / Cost of Long Dstance Calls xp ~ f! r +- + ' /[. x T~ _ _ J/o J\ : - -?- ; -ft 5 0 Tme (mln) Coprght McGraw-Hll Rerson, 2008

14 (contnued) Extra Practce 5 Lesson 4.5. a) ) x = 0 ) x = 4 ) x = -2 b) ) = 2 ) =5 ) = a) ) x = ) x = -.5 ) x = 3 b) ) = ) = -3 ) = a) ) x = ) x = - ) x = 4 b) ) = ) = 4 ) = a) Approxmatel $0.56. Ths s nterpolaton because am readng a data pont that les between the plotted ponts. b) Approxmatel 3 mn c) Approxmatel 22 mn Coprght McGraw-Hll Rerson, 2006