Chapter 4 Word Problems
Algebra 2 Pre-AP
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for o compony thot produces ontivirus and system utilities softwore is
+t40x - 250,000 where x is the number of units qo-!d,'lflh,gt soles level will yield o
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J. t X \..11
Use the model to opproximatethe percentage of totol income thot on indivibuol who is 45 years n,,, of age spends on heolth core.
At whot age is the percentage of income spenf on heolth care !O"/"?
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Bosed on the groph, whot hoppens to the percentoge of income spent on healfhcare os individuols
-"rinitiol velocity of 64 f eet per second fnom o plotform 80 feet
Write on eguotion thot models the poth of the object.
When will the object reoch o moximum height?
How mony seconds until the object hits the ground? l -
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Shecouldsell itnowforapriceof $l.4Qper pound. The pig is goining 5 pounds per week, ond the price per pound is dropping 2 cents per week.
on eguotion for the totol worih of the pig o's o functiori;of weeks.
When should Dee sell the pig to geiihe moximum omount of money f or it?
Luke and Leia are tropped in o room on o space
wide, but the length is decreosing ot o rate rate of 3 meters per minufe.
stotion. The room is 20 melers long ond 15 meters of 2 meters per minute, ond the width is increosing oi o
Write on eguotion fhot relotes oreo (y), in sguoremelers, ond time (t), in minutes.
Does the area of the room reoch o maximum for o positive volue of t? Tf so, whot volue of
nof, how do you tell? ' r".
When will the area of the room be zero? t *i
Thefunction H(x)=O.OO4x2 -O.lg7x+5.406 models thepercentageof total incomethoton individuol who is x yeors of age spends on heolth core. (Source: Based on doto obtoined from the
Bureou of Lobor Stotistics.) "7r'' i'
A farmer with 2000 meters of f encing wants to enclose o rectangulor plot thot borders on o stroight highwoy. If theformerdoesnotfencethesideolongthehighway,whotisthelargestoreothotconbe
A science center hos o rectongulor porking lot. The science center wants to odd 18,400 sguore feel to the area of the porking lot !y expbnding the existing porking lot os shown.
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thot could be used to solve to find the volue of x. the eguotion from port o. By whot distonce x should thelength
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of the porking
lot be expanded?
Regression Word Problems
Suppose thot you ore on actuory for F. Bender's fnsuronce Agency. Your company plons to offer a senior citizen's occident policy, ond you must predict the likelihood of on qcqidq.nt os o f unction of the driver's age. From prevrous occrdent recot 'ds, you f ind the follo$rinq inf dent tolloping informotion:
U, -\\ ase Qf yeors)
Accidents per 1-d-0 Million km
You know thot the number of occidents per 100 million km driven should reach o minimum then go up ogoin for very old drivers; theref ore, you ossume thot o guodrotic function is o reosonoble model.