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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 $19 per DVD, they sell only 72 copies.
a. Find a linear function expressing the quantity q of DVDs sold to the price p per DVD.
Pinaiﬁfmdml VVI=AQ : 72400 f, [00: ~H[P_)Z) d? (:ﬂgk’ﬁi’ 3 ’4 a " s 4: Z b. What is the slope (in reduced form)? Give units. _ Li EN dollar c. Using everyday language, explain the meaning of the slope in part (b). We w\\\ 5e.\\ Ll Qmer EVE; alert/\bme we (“wee
We price low {hr 2. Recently, Sally was planning a Christmas party and trying to decide how to spend her
budget for snacks. She knows that if she buys 5 boxes of sweets, she will have enough
money remaining to buy 12 bags of chips or if she buys 10 boxes of sweets, she will have
enough for 6 bags of chips. a. Assuming all of her money is spent, express the number of bags of chips, B , she can buy as a linear function of the number of boxes of sweets, S , she buys.
gander/Faded m:£§:é;’£ (3'12. = —).2(g53 As )05
B deﬂenoir’rti' ; 4.2 342 z 4.23 + Co
B=~L23+i3 b. Find and interpret the vertical intercept of your equation in a). Q B = —).2(o)+\8 V—lnlcrcqoi : p ‘
Eu ,3» )Q 80AM speak her mime Wiselr— on, (shuns,
1 she? will gel l8 barges if?th aid /)0 Sweets. c. Find and interpret the horizontal intercept of your equation in (a). 0:4,23443 Hlnlcrceplil(l5,o)i his 18; I? Salk" Spends Mar ewim buc’fjfi' 0” 5W6“:
N "Z ska mu 3d 15 1mm J5me, ml norbﬂa‘
8: l5 3. In the Fahrenheit temperature scale, water freezes at 32°F and boils at 212°F. In the
Celsius scale, water freezes at 0°C and boils at 100°C. Find a linear equation expressing
Fahrenheit temperature F as a function of Celsius temperature C. Give units for the slope.
:Al: ,, 2/2132 ’ _
C Independenl M A? ’ /DD_O F; 32 — l8(C (>3
Fa/epmlml = 1,8 ' l~32= [.8c F=L8c+3zp 4. Decide whether the following functions are linear. Explain how you know without
ﬁnding the equation of the line. This iable W5 W1 mco/ISISlé’ﬂl' rSlope
halide/I {Jon/lib. “Ms, PIX) l6 [14$ \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: (0,0I0‘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. PanS76): W = ,
Mme8‘5 3 /79.975 Wide/gar b. Interpret your answer from part (a) in relation to the town’s population. 89W?!) [email protected] 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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 Spring '08
 KUSTIN
 Absolute Zero, Fahrenheit, Celsius, WI, Linear function

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