(MAT105 -Intro 2 Cllge Math) Real Wrld App #18 -Wk 6

(MAT105 -Intro 2 Cllge Math) Real Wrld App #18 -Wk 6 - I n...

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Unformatted text preview: I n Re al Wo rl d Ap p li ca ti on # 1 8, you le a rn to u se ra tio s an d p ro po rti o n s in eve ryd a y l if e . * R a tio s a re u se d to co mpa re th i n g s (rep re sen te d b y nu mbe rs) . Th e y a re re a ll y a q uo ti e n t of th e nu mb e rs. A t o B o r A/B Wi th ga s p ri ce s so h ig h , a trul y e ve ryd a y e xa mp l e o f ra ti o s i s mi le s-p e rg al l o n . If yo u r ta n k o nl y ho l d s 1 3 .5 ga l l on s o f g a s an d yo u ca n g o 27 0 mi l e s on t h a t, yo u wo u l d fi gu re 2 7 0 mil e s b y 13 .5 g a ll o n s. * A p ro po r tio n i s si mp l y ma ki n g 2 ra ti o s e qu a l . Wh e n on e f ra cti o n e qu a l s a no th e r f ra cti o n , i t is cal l ed a pro p o rtio n . In th e ab o ve ca se yo u p ro b a bl y are th i n kin g o f ge tti n g a ne w ca r th a t wi ll h ol d mo re g a s i n on e tan k. Yo u wa n t a ca r th a t ca n a t le a st g e t 36 0 mi le s on o n e t a n k, so you wo u ld use a pro p o rtio n . 27 0 /1 3 .5 = 36 0 /x 20 = 3 60 /x 2 0 x = 36 0 You wo ul d ne e d a ca r th a t ca n h o ld a t l ea st 18 ga l lo n s. A p pl i ca ti on E xe rci se 2 : Th e te a ch e r i s ma kin g a 6 ’ x6’ ch a rt o f a co mp u te r de skto p . She wa n ts to ma ke i t r e al i sti c w i th th e i co n s p ro p o rti on a l to he r PC ’ s d e sktop ico n s. T he q ue sti o n sta te s if th e co mp u te r scre e n i s 17 ”x1 7 ”, wh a t d i men si on s mu st th e s q u a re ico n s ha ve i n o rde r to ha ve th e sa me i con /scre e n ra ti o a s th e 1 5”x1 5 ” s cre en ? Ico n A re a o f 1 5 ”x15 ” Scre e n I co n Are a o f 1 7 ”x17 ” Scree n X A re a o f 1 5 ”x15 ” Scre e n A re a o f 17 ”x1 7 ” Scree n 2 A re a o f 1 5 ”x15 ” Scre e n Ico n : 9 /64 in 2 A re a o f 1 5 ”x15 ” Scre e n : 22 5 in 2 A re a o f 1 7 ”x17 ” Scre e n : 2 89 i n X wi ll be th e Ico n Are a o f the 17 ”x1 7 ” Scree n 2 T he d i me n sio n s of an ico n o n th e 17 ”x1 7 ” PC Scre en wo ul d be 2 89 /1 60 0 i n x /5 1 84 = 9 /6 4 2 89 x/5 1 84 = 9 /6 4 x 1 /2 89 x/5 1 84 = 9 /1 84 9 6 x = 4 66 5 6 /1 849 6 2 X = 7 29 i n 2 89 X= 1 51 2 89 2 X = 2 .52 (I rou n de d to th e hu n d red th pl a ce) √ 2 .5 2 = 1 .59 (rou n de d to hu n d red th pl a ce) S o th e l e ng th of o ne si d e i s : 59 10 0 1 in. ...
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