ID: A
Date:
Class:
Name:
Chapter 3 Int. Math I
Short Answer
The table showsthe miles driven by a truck driver. The distanceis the total numberof miles driven. Usethe
tableto aswerouestions1-3,
Time
(hours)
0
I
2
Distance
(miles)
0
43
87
a
J
110
4
5
6
7
120
150
203
216
1. Determinea linear regressionequationfor the data.Roundthe slopeand y-interpeplto the
nearestwholenumber.
{fp_
LOX + tL
Z-
(<lgnlot?f
2. Idontifr the oorrelationcoefficien! or r-value,of the line. What doesthis value tell you?
ft.0,q't1
trg
. L ; . - - l . . A ; c l r r n . r q n s* h . . f + r . r l , n € y.
f
;s
close to Pgsittve t tt
This
*Lc datq '
fi | t"
is q 1ood,
-the
3. Predict
distance,l$aveled
after t hours.Showyour work and explain your reasoning.
f cx)__gax+t2
€Ct) =iolqJ+&
+ft\
' t - 7 = Zgz
4.whatisthev-interceptfo.."ffilrri-,,r
n"om
cor-'
5. writetheequ"tiony=f,-,,".*; I=fr-
6, Write the equation3x +4 = 8 in slopeinterceptform.
h= -Ax +g
7 T T
9*** +'f
t n (j^
rr = - W
Name:
ID: A
Darla has $75 to spend at the bookstore, She decidesto buy books and magazineswith'her money.
Books cost $16 each and magazines cost $8 each.
7. Write an equation to representthis problem situation. Let b representthe number of books and let m
represent
thenumberof magazines.
| 6 g + gft{=
7 b
8. IfDarla buys 2 books,what is the greatestnumberof magazinesshecanbuy? Showyour work and explain
your reasonmg.
l6Q) +7n e7i
5* * , . n =es> $
n L $r ' t 7
l-^-^.-L.-
^b:it,-o
l^n
i?
f^r: i T:^r;*,'tuf
\Fflj;'b.
9?-.ytmI 75
ry
ff
lJra]b1 i5
b.
A toy manufacturer is designing a new triangular-shaped toy. Th0/company would like the toy to have
aspecificarea.Theareaofatriangleisgiven
by A-iUr.
s. Solvetheformulafor theheight. *=
iL
h
Lfr
10. Thecompanyspecifiedthatthe areaof thetoy mustbe 60 in 2 andthelengthof the basemustbe 12in. Use
f
.
your formulato determinethe heightof the newtoy.
'
h
: 2(go)
t{_
,a
./
6
b
*-..#
6a
l"
-'''''/
Carloshaqa roadsidestandthat sellspeaches.He sellshis peachesfor $1.99per pound.He
typicallyloses5 poundsperweekto spoilage.Hectoralsohhsa roadsidestandthat sellspeaches.
He sellshis
,S
't'/
peachesfor $2.49 per pound. He typically only loses 1 pound per week to spoilage.Carlos' standsells twice
as many peachesper week as Hector's stand.
The linear functions c(x) = 1.99(x- 5) and h(x) - 2.49(x- i; representthe total amount eachstandcan earn
taking into account the peacheslost to spoilage. Write a I'inearfunction that representsthe total amount that
Carlos and Hector can earn combined.
C c r ) sl , l q k ^ - $ + 1+, l $ x - | |
./
,/
f
,/
How much money would Carlos and Hector make if they sold 100 peaches?
Name:
(crass:
{"U
ID: B
Date:
Chapter 3 Int. Math 1
Short Answer
A toy manufacturer is designing a new triangular-shaped toy. The company would like the toy to have
r
l
-7
a specificarea. Theareaof a triangleis givenW A=Zbh.
Z fr = bh
1. Solvetheformulafortheheight
h=
,;
Zl
b
'
2. The companyspecifiedthat the areaoftle toy mustbe 120rn andthe lengthofthe basemustbe 12 in. Uso
your formula to determine the height of the new toy.
1;- ?-n^-.. It=L()?Q.= z'to
' r . ' - '
T 7
rr
+
' - +
lz
lL
= 2D*
Books cost $16 each and magazines cost $8 each.
the numberof booksandlet m
3. Write an equationto represent
this problemsifuation.Let b represent
representthenumberofmagazines.
: f 3
lLb + gm
4. If Darla buys no magazines,what is the greatestnumberof booksshecan buy? Showyour work and explain
your reasoning.
bLq
1 6 6 *E ( p ) - s T g
l ( bL t s
h a 1,Lf
5. Writethe equation3x +2y - 8 in slopeinterceptform.
,
tt Ar.h* gr
,
z
-3xtff
5
6. Write the equationy- - 1x - 1 Oin standardform.
f
^2X ^)t
6
l.
What is the x-intercept
L
/ ' s
{,l , r ' * ; X
i b
* 3 =- l
r
thqeguation-3x - 5y - 2l?
o) -i x*f oS-el
-3x : 7l
x=-7
r
X- r'nj:' et
$
!
t
t
l*Sf
ID: B
Name:
8. The table showsthe populationofa small town for eachyear from 2003 to 2010.Determinea linear
regression
equationfor the data.Roundthe slopeandlr-interceptto the nedrestwholenumber.(Use0 in your
tableto represent2003)
Ye*rr
P,o$,ulatio
2003
2004
2045
2006
2007
2009
2008
20r0
21,359 22,906 22,542 23,048 23,562 23,609 24,008 24,716
:l|:t':r::,,:1t,::
:i],:]
::':|i:l::]
:]::l
f q ) = j 4 r ?x * z t , r $ $
?
(o I t o,l^ -1"c,
r
9. Identifu the correlation coefficient, or r-value, of the line. What doesthis value tell you?
f q . "o , q l z
10. Predictthe populationfor the year2020,Showyour work andexplainyour reasoning.
4tszo:Ceqrt7 fcn)
3qo(tl)+zltd53
4(fi]= Lt,+f S
A jean manufacturerhas two production lines. Line A producesa style that is sold for $42 each.Line A
typically produces 2 pairs per day that do not meet company standardsand cannot be sold. Line B produces a
style that can be sold for $65 each. Line B typically produces 3 pairs per day that do not meet company
standardsand cannot be sold. Line A producesthree times as many pairs ofjeans as Line B eachday.The
linear functions a(x) - 42(x -2) and b(x) - 65(x - 3) representthe total number of pairs ofjeans
that each line can produce taking into account the jeans that do not meet company standardsand cannot be
sold. Write a linear function that representsthe total number of pairs ofjeans the lines can producecombined
much money will the manufacturermake if it produces100jeans?