,,- : (~e:se (A<e \')O-T. po Vl\(} \ '(\ \s X \JQ\\JeS. LOX''(e-L-~) Linear Function Review. a. I(x)./ c. 1M ,/ 5000 I - ~.

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1 ,. Name: Class: Date: _ D: A Linear Function Review 1. Jennifer is a car saleswoman. She is paid a salar of $0 per month plus $00 for each car that she sells. Her salar can be modeled b the equation () = where is the number of cars sold. Graph this Gu.ationand give its domain and range.., a. (). c. 1M , ~.,,-- " 000 ta ca [') 000 ;>.. ~ co ::is,,- : _ : 000 ". ca ta" " [') 000 " - c-, "- ~ C 000.: " ::is ~ (ot LOYYt~ ~ Y-{YCtp" Number of Cars Sold D: {O, 1,,,...} R: {$0, $000, $00, $00,...} Number of Cars Sold D: {$00, $000, $00, $500,...} R: {O, 1,,,...} b : 000 ~ ca [') 000 b -s co ::is d : 000 ~ ca [') 000 ;>.. ~ s:: o ::is 000 1M,,,,, 00 '( O-t Number of Cars Sold, Number of Cars Sold D: {O, 1,,,...} R: {$00, $000, $00, 500,...} po Vl(} '( s X JQJeS '<--CAYl~~ '~'i J ClueS (~e:se (A<e ')O-T LOX''(e-L-~) 1

2 ,. Name: D: A D. Tell whether the slope ofthe line is positive, negative, zero, or undefmed < e.yo lero - - tit-v e. s DO -se o =0 YA.V1 a. negative c. positive b. undefmed zero b. Write the equation that describes the line with slope =!1 and-intercept = % in slope-intercept form. a. =%-% Q =-%+ % ~=- VY X -t b 5 5 b. X=-"Y+" d. -"+=". dentif each graph as being a non-linear function, linear function, or not a function. fjy'toy - ro.sses vevtl uv iyt, t(st Graph A GraphB GraphC 5 i'elly - )1Y t'. q'r- "' Ve LOh~V S Oft - - -J - J fvnvi'ov - Nof l'yl( tl' -J a. Graph A: not a function Graph B: not a function Graph C: linear function b. Graph A: non-linear function Graph B: not a function Graph C: not a function Graph A: non-linear function Graph B: linear function Graph C: not a function d. Graph A: non-linear function Graph B: linear function Graph C: linear function

3 Name: --~ Find the slope of the line. D: A ~. 1 s ndea1y1ec ~'-~++~~~ +~~~r+~ {) {) - -.r o ~QV V+ cljc1l b Z-~Y-D. c a. - G undefined 7. Find the - and -intercepts. c. d {) - a. -intercept:, -intercept: - b. -intercept: -, -intercept: -intercept:, -intercept: -intercept:, -intercept:

4 Name: D: A 5. Jim drove for several hours, recording the distance he had traveled in miles. Graph the data and show the rates of change. 0- "".1- l Hours Miles G 50 5~ 'i 00 Vl.., 0 :;:: 50 ::E '".., ::E (l., DO) YYt LDY( tbt 5 Hours X ::::: ~ ~5PO l-0-15~o-01::::;0:::::5=0 =1 1;;;;0 0 0 Hours X (Ad Y,,~.J'n. Ve s> V 0t CDYY~C{ Find the slope of the line. 5 7.T Hours [' l. (. ~,,::.., h r n.»: ~ ~ X ClV1d ~ (A""s VO+ CbvY'eL-t.,..). rise 'fuy S'ope c. ~ G z ~ 'L--"' l-s.., - 'f~x 5-

5 Name: D D: A 9. A clothing manufacturer needs. ards of fabric to make a jacket and 1. ards of fabric to make a matching skirt. The number of jackets,, and coats,, that can be made from a -ard bolt of fabric can be re~resented b the equatio~ = ) Graph the function and fmd its intercepts. What does the -mtercept represent? a. c. 0 '" t :;;: -0 '" o 1 t.n S Z 1 0.., r; :;;: <) '+-< :: 1 <) : S Z 1 <, '-.... '-. <, '-... "'- b Number of jackets The -intercept is (0, ). The -intercept gives the total number of jackets that can be made from one bolt of fabric when onl jackets are made Number of jackets The -intercept is (0, 0). The -intercept gives the total number of jackets that can be made from one bolt of fabric when onl jackets are made. 5 <, '. <, '. <, 0 '" :;;: t 7.., -0 :: 1 <).n S Z 9 1"- "- 1"- <, r-, 1"- <, r-, Number of jackets The -intercept is (0, ). The -intercept gives the total number of skirts that can be made from one bolt of fabric when onl skirts are made. L.~ +.ld ~~ -1.L- - "- '. - ''~.loi +~.~.lo l.lo ~:=-,SX+~O ~ :Q <) '+-< ~ 1.,.n S Z 1. The -intercept Number of jackets is (0, 0). The -intercept gives the total number of skirts that can be made from one bolt of fabric when onl skirts are made. '5DJt fdv Y.

6 Name: ~ Hf<, ~ Yt of-1 ~~M~+b. 't Tell whether the function = 5 - is linear. f so, graph the function. Not a linear function. c ' ~rat-t'o +O'(YY.,-- S V'{~Y' - = D: A OJ ll 11. The cost to fill a car's tank with gas and get a car wash is a linear function of the capacit of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 9 gallons. Tank size (gal) Total cost ($) () t) ell,~.1-0) ( 1- ~G1.0') a. () 0.5 b. ().00 ().0 () =.0 1.; Cost for truck = $1.1.75; Cost for truck = $ ; Cost for truck = $9.5.00; Cost for truck = $ :1] 5

7 Name: ~ D: A... "oi G 1. Graph the line with a slope of that contains the G point (, ). a.. JL 1. c Write an equation in slope-intercept.. v: V ~. 7 form of the line with slope that contains the point (~,1).? J~ Y X a. = + 5 ::(to S)t- 5 c. = + ':: (0 (c;) + ' lavid '( Sce b. =-0 ~C~,S)- =-7 -:.lo(s)-g.,l l.f 't ) 1. Find the slope of the line described b ~ - = '.. YYG'Le S a. ~ So)e fo t Q -~ _ -~tt)( (0 t 1Yve., d "'l. ( b. ". -" - -':) -~ - ~..., 15. Write an equation i for the line that has a slope of. and contains the point (-9,). a. -9=f(+) G +=;(-9) "vn X, ' b. +9=;(-) d. -=f(+9) - 0 ~ ~ l- X J V 1 1., ) - 0 r; f ~~ ) 0 - in j 11! - 0 ~ p.n ~ r; ~ ~ 1, 7 (tj1w) Vot OV ~Vo..VV1

8 Name: _ D: A 0Guseintercepts to graph the line described b=- + = -1. a. -intercept:, -intercept: -. -intercept:, -intercept: b ' ec LD'(~ - ( f- - - " -intercept: 7,-intercept: - d. tntercept: Z}-inte;cept: ~Dve - t" ::-llp t1-x -+Z - 1 ::::- - to t X ---rtlf ~ - - t + i

9 Name: fl '... ('. ~(. l. Write the equation + = -1 in slope-intercept form. Then graph the line described b the equation. a. Y=-"- 1 at cp(l~ c. Y=-"- V) ') '()~ - t < ' (OVV~,0- '{~ D: A.. ) - - ~ ~ G 1 =-" - ~ d. Y=-"- r: < YO' o-lf(i~"o,j.~ )o'f '. " 1 - ~ ~ - ~ A. The graph shows a linear relationship. Find the slope Q 5 C..!.. 1 b. d. 5 1