Kilometre and o. B. C. Essay

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Chapter 4 Word Problems
Algebra 2 Pre-AP

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1.

The
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profit

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
-0.0002x2
P(in dollars)

moximum prof

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Use the model to opproximatethe percentage of totol income thot on indivibuol who is 45 years n,,, of age spends on heolth core.
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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

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b.
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-"rinitiol velocity of 64 f eet per second fnom o plotform 80 feet

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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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DeeSidehosopigthotpiesentlyweighs2OOfounds.

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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.
o.
b.

,

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?

Write

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.

o.
b.
c.

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
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nof, how do you tell? ' r".
When will the area of the room be zero? t *i

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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'
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A farmer with 2000 meters of f encing wants to enclose o rectangulor plot thot borders on o stroight highwoy. If theformerdoesnotfencethesideolongthehighway,whotisthelargestoreothotconbe

enclosed?

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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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3?0 ft

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150 ft

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Write
Solve

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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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on eguotion

ond width

of the porking

lot be expanded?

Regression Word Problems
8.

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)
20
30

40

Accidents per 1-d-0 Million km
Driven
440
280
?oo

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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.
o.

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