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Test1Key - Test 1 study guide(Show all your work Math 1101...

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Unformatted text preview: Test 1 study guide (Show all your work) Math 1101 No.: Name: i). Consider the following table. 5 7O 73 66 66 64 t 149 175 146 126 138 g 5 52:? A) 13 t a function of s ? 3‘5 t3? was g g: 5; B Is 8 a function of t ? 9% ii). The following table gives values for a function f(x). x 6 4 5 7 8 f(x) 3 7 l 1 5 2 a) For what value(s) of x does f(x)=7 ? Answer: x: in? b) f<7>= iii) Determine the domain of the function f (x) = x/12 - 3x and write your answer in interval notation. We '° a: I: M ~53 5;“ ggwé/{g-Q; gins:ng aw 15 3x-12 iv) Determine the domain of the function y = 7 + and write your answer in interval notation. ( at l i j i 2. Suppose the revenue for the manufacture of golf balls is given by the function R(x)=:1.79x, where X is the number of golf balls sold. a). What is R(3000)? Interpret this result in words. 5e “’5 if? vi ,;;: y, _ were re: Q T" b). What is the revenue from the sale of 2000 balls? 9 c) What is the slope of the revenue function? "3”‘5’3 » ,ga 2}":532; 3/” 3 y“ 57, .W 5 i z i a? y“ a; M f a f E :3 f e 3. The number of welfare cases during 1997—2008 in a city is given by the model y = ~98x2 ~—105x + 22009, where X is the number of years after 1995. a) What is the value of x that correspond to the years 1998 and 2005? b) Find the value of y when x=9. Explain what this means he egga’éiig} :2: fig g fife-“5‘9?” c) How many welfare cases were there in 2001, according to this model? g :r: A :1“ whey“; fi5§3§i 4. Rewrite the equation, 3x + 7 y =2 35 in slope-intercept form, and then identify M E: is, g / a) the slope 2% ":" “ b) the y-intercept and b M i: c) the x—intercept. owe-e 32/1: airfrggvfirig a; m 3:: I 3;é ' « r r z e g, ‘73 >5 w {wééféfieé sat W 5. Find the equation for the line that contains the point (5,7) and is parallel to the line y = 8 — 4x. Write your answer in slope-interceprfarm. :SZeriééi‘} “fig E , (“WNW E , a» i’iwazr‘aww“ g} amaze; a, g EM, WW “Mag 6. Find the equation for the line that contains the point (-4,-10) and is perpendicular to the line y :8+2x. Write your answer in slope-interceptform. g g“; j: agrariaaa _ g e a , l; { Saera’fieaa t: w jg: , ‘ ’3 a“; jg; EM} MWMMW M Mg j e“ 3: MWWW’W an; avatar/‘2“ r7: §\§”‘~WL‘K“H‘ Wm afvfigqla 3" SEW“ 2 : Wawmw 7. A business used straight-line depreciation to determ'me the value V of a piece of machinery over 10-year period. Suppose the original value (when t=0) is equal to $37,000 and its value is reduced by $3700 each year. a) Write the linear equation that models the value v of this machinery at the end of year t. (Write your answer in slope-intercept form, v=mt+b, in terms of the machinery‘s value, v and years since purchase, t) b) Find the machinery's worth 5 years after being purchased. 8. Determine whether the following data is linear. If it is linear, find the function and write your answer in y = b + mx form. If the data is not linear, write NOT Linear. x y p 9 w —4 6 : “é t ‘2 aim???” 4 3 :H3 4 0 : 3§M5%4%§¥ 0 —6 “3M 9 W 5 i ” 9. A manufacturer of automobile air conditioners has total revenue given by R: 125.50); and total cost given by C=49.30x+9067.80, where x is the number of units produced and sold. Find the number of units needed for the manufacturer to break even. N m M 3 .r A a. gasaa.wa%;aaag§§ 6““ ’7 53 ‘2» >< , , ‘4 g 10. A certain product has supply and demand functions given by p=60q+100 and p=l l lOO~50q, respectively. MM W a) What price gives market equilibrium, and how many units are demanded and supplied at this price? ll. A retail chain will buy 400 cordless phones if the price is $50 each and 200 if the price is $60 each. A wholesaler will supply 950 phones at $50 each and 1650 at $70 each. Assuming that the supply and demand functions are linear, find the market equilibrium point and explain what it means. 3: ” 3 {f9 w m“ '0 a “a ‘ E f; g? f (-2 e; g f3. v "}} i? “if g“ r“; f. f w; 'fi:~:[email protected]éw w “2 g m “if gigs} g; ,g iii! “iv; fl gs ,. E‘s} “ital; g? “3’? a??? «E’ 3. W 2? :ya‘tgg‘téaé an??? 3 a 5 in z « a a”? g 23:: agar g a {‘1} g ’5“ ‘r g 9* 2' x3 11* ,gk‘ ‘géwy *‘ i air"? are”? “’92.: 2:2 % a? a a c 12. Jason invested a total of $35000 into two accounts, one yielding 4% annual interest and the other yielding 10% annual interest (a more risky investment). If he received a total of $2510 interest at the end of the year, how much did he invest in each account? a? fags/f a: W a; "Mr z” / a, a w b a » K xajxaww ~ * “a i {35; as 97.51"??? 3 if m e} if a a we; agiégégwgafggugmwjéz W “2 é {a a ‘9“ E ’ g A. ’fé m a X,» K :7; ,, ,2 3“ {>5 g; {éi‘?~€f{f§"¥" E? aw??? "WV gm a" z j 2 {K ggtwg Q Xi: : iii? V {‘3 ram w if“; :1 £3; 3. {2:3 2 n f” E a. ; ma 31/5; 9..» / fig» ’K E r r a” jiffigé f g S “2” g/é’. gig??? ?§%a§ a. WE’Qéivy’: {aavfééérflégw 1%WV’; ‘ “2‘22 i“ L“ a f. 5.; a» ...
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Test1Key - Test 1 study guide(Show all your work Math 1101...

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