21worksheet1 - Sauna/us Math 122, Section 021 Worksheet 1...

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Unformatted text preview: Sauna/us Math 122, Section 021 Worksheet 1 Show all work for full credit. 1. A local video store notices a linear relationship between the quantity of movies they can sell and the price charged per DVD. {In particular, if the movies are priced at $12 per DVD, the store sells 100 copies, but if they raise the price to $19 per DVD, they sell only 72 copies. a. Find a linear function expressing the quantity q of DVDs sold to the price p per DVD. Pinaififmdml VVI=AQ : 72400 f, [00: ~H[P_)Z) d? (:flgk’fii’ 3 ’4 a " s 4: Z b. What is the slope (in reduced form)? Give units. _ Li EN dollar c. Using everyday language, explain the meaning of the slope in part (b). We w\\\ 5e.\\ Ll Qmer EVE; alert/\bme we (“wee We price low {hr 2. Recently, Sally was planning a Christmas party and trying to decide how to spend her budget for snacks. She knows that if she buys 5 boxes of sweets, she will have enough money remaining to buy 12 bags of chips or if she buys 10 boxes of sweets, she will have enough for 6 bags of chips. a. Assuming all of her money is spent, express the number of bags of chips, B , she can buy as a linear function of the number of boxes of sweets, S , she buys. gander/Faded m:£§:é;’£ (3'12. = —).2(g-53 As )0-5 B deflenoir’rti' ; 4.2 342 z 4.23 + Co B=~L23+i3 b. Find and interpret the vertical intercept of your equation in a). Q B = —).2(o)+\8 V—lnlcrcqoi : p ‘ Eu ,3» )Q 80AM speak her mime Wiselr— on, (shuns, 1 she? will gel l8 barges if?th aid /)0 Sweets. c. Find and interpret the horizontal intercept of your equation in (a). 0:4,23443 H-lnlcrceplil(l5,o)i his 18; I? Salk" Spends Mar ewim buc’fjfi' 0” 5W6“: N "Z ska mu 3d 15 1mm J5me, ml norbfla‘ 8: l5 3. In the Fahrenheit temperature scale, water freezes at 32°F and boils at 212°F. In the Celsius scale, water freezes at 0°C and boils at 100°C. Find a linear equation expressing Fahrenheit temperature F as a function of Celsius temperature C. Give units for the slope. :Al: ,, 2/2132 ’ _ C Independenl M A? ’ /DD_O F; 32 — l-8(C (>3 Fa/epmlml = 1,8 ' l~32= [.8c F=L8c+3zp 4. Decide whether the following functions are linear. Explain how you know without finding the equation of the line. This iable W5 W1 mco/ISISlé’fll' rSlope halide/I {Jon/lib. “Ms, PIX) l6 [14$ \mmr. Jilos iable l’hb 0x COAS\$\€{\\ $\ope m: 5.Ll. Tl/NS m = 4?.8’3510 : 54 109.241. L1 :54, WI,» I?” 500 15 \meou". m: (0,0-I0‘7.2._5Ll W? 2948’ ' ' 5. A town’s population is modeled by the following equation P = 8000(0.97)’ people, where t represents the number of years since 2001. a. Find the average rate of change of the population from t = 5 to t = 8. Give units. Pan-S76): W = , Mme-8‘5 3 /79.975 Wide/gar b. Interpret your answer from part (a) in relation to the town’s population. 89W?!) 200@ 445/ 2009, papalmhm ac "HMS mm o/zcrrasac/ by m LXI/3336 0/7 M7, 975 lam/l8 E 451/) 754/. ...
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This note was uploaded on 02/21/2012 for the course MATH 122 taught by Professor Kustin during the Spring '08 term at South Carolina.

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21worksheet1 - Sauna/us Math 122, Section 021 Worksheet 1...

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