*r.
Vb P 3 .\
Celiawritesthe equationd:8r to representthe distance
in milesd
that bikerscould travelin t hoursat a speedof 8 milesper hour.
a. Make a table that showsthe distancetraveledeveryhalf hour,up
to 5 hours,if bikersride at this constantspeed.
12.a.
BikeRide
b. How far wouldbikerstravelin 1.hour,6hours,
8.5hours,and 10hours?
\ hr + g,.-\
b ht + e\B n^i
8.5x' i 68'^\
\O \rr rr BO.<..i
F.brExercises22-27rfindthe indicatedvalue or values
22. the mean,or average,of.4.5and7.3
q.5
+ - 1 .3
5.q
2 \r r .g
\G
\ Af . a. You can calculatethe averagespeedof a car trip if you know the
distanceand time traveled.Copy and completethe table below.
Car Trips
Distance Time AverageSpeed
(mi/h)
(h0
(mi)
-12.8
SSr:
6te *
145
2
110
2
165
2.5
300
5.25
446
528
6.75 I G(o.lEi
(slo vi
8
862
9.5
723
10
I b. Write a formula for calculatingthe averagespeeds
for any given 6166nced and time /.
S= +
& 5J.lr'
BclO.Jlr
'1 2 .3 E
ovgR, -t
or \ = d+ t
L The El PasoMiddie Schoolgirls'basketballteamis goingfrom
El Pasoto SanAntonio for the Texasstatechampionshipgame.
The trip will be 560miles.Their bus travelsat an averagespeedof
60 milesper hour.
a, Supposethe bus travelsat an almoststeady
speedthroughoutthe trip. Make a tablee;*S
a graphof time and distancedatafor the bus.-
T'.'-cCx')
Io
I 12lg
{
\t
6 l: r
E aoo
o
l8
3oo
E
o
@l rzo l re o
fi
6 200
\"*
b. 4ptimatethe distancethe bus travelsin 2 hours,
2f hours,3 | hours,and7.25hours.
Anst-"cr I
f-
Shcr,r\d be
closr \o
tl^cse.
t
2hr
100
nt' 0 123
lZOr.i
)
^.l
/
L
fi X .+Z \Or" ^ i
-7 .2 s\c -! {3 S*'
/,
BasketballRoadTrip
s67 ge
Time (hr)
f.. t tbS'-'.
c' How are 2 hoursand the distancetraveled
in
2 hoursrepresentedin the table?How
are
they shownon the graph?
Teb\e
+
U^e
\a\,.rel o! *-;
Grap\
+ tre
co rrs !Fo..d'...$
a^a rib)
t i=
tro....!f (z , \2o)
d. How arc2lohoursand the distancetraveledin 2f hours
representedin the table?How are they shown on the graph?
ore hcl(. l-. Urc \@b\e . T\eS r.ro-r\d, be t),.,.evo,\.res i o!
tqS
\)^e ,*'otr het,.^rqen (2-, t zb) c.^d iS, ,6o; . T\,\..r i re prrlextccl
q\
( 2.'1 5, r oS)
.
e. Describein words a rule you can useto calculatethe distancetraveled
for any giventime on this trip.
"fhe d,r\once. (i,.,
i\er) it
kC) v.*ur\qg\ied \\\e
f. The busroute passesthrough SierraBlanca,which is 90 miles
from El Paso.About how long doesit take the bus to get to
SierraBlanca?
t 72 L.r
g. The busrouti alsopassesthrough Balmorhea,which is of the way
{
from El Pasoto SanAntonio. About how long doesit tlh.
_4O.
the bus to get to Balmorhea?
*b-.oq Sqr()
___.\, A3 \rr!,
B_1r," ..
h. How long doesit take the bus
to completeits 560-miletrip
to SanAntonio?
GO.t . SbO
t
S(Oi (oo = q.l
t',"*e
t = \ $-l
t
tB _1-1160*
(i.. \o,r.s).
sf,x"
S hrJ*i ^
hr = I ix. = 1\, ]g r-.in
ViP3 .I
The equation d : 70trepresentsthe distancein milescoveredafter
travelingat 70 milesper hour for r hours.
a. Make a table that showsthe distancetraveledeveryhalf hour
from 0 hoursto 4 hours.
I lr .5
olo.sl
o | 35 f ro [tos
Ti'^e(hr)
Dit\"*.('*t)l
3
2..5
tr\ o
l-1 S
5.5
2.t 5 zgo
2\O
b. Sketcha coordinategraphthat showsthe distancetraveled
--)
b e tw ee n0and4hours.
C.
Whatis d whent : 2.5hours?
o --c
* 100
\-1 5 x.i\es
d. What is r when d = 21.0miles?
3 \our
o
s
123
Time (hr)
e. You probablymadeyour graphby plotting points.In this
Ye s, i t ,.:ou\d .,.o,\re
situation,would it make senseto connectthesepoints?
secrs e
beco,.rre
t'irr.q € d..ltor.e,e
bci<\ contr.rr.ou t. \o_1
cq^
lt:
\Ove por\:.o,\ ha.r.t
!,^i\eS.
4. a. Usethetableto writeanequationthatrelateslunchcostL and
number
of ridersn.
ru
L = \.25
Bike Tour Qox LunchCosts
Riders
1
2
3
4
5
6
7
8
9
LunchCost ]4.2s s8.50 s12.7s$17.00 $21.2s $2s.s0129.7s t34.00 $38.2s
b. Use your equationto find the lunch costfor 25 riders.
s\Oto,ZS
L= t\,ZS x Z5=
c. How many riderscould eat lunch for $g9.25?
L-- {.25' n
*
gq.ZS = \.ZS*n
t
#or
ts\-\iF,U.
{.25*
8q.2 5 - \ . ? - b =
Z\
tll.otnr.r."-ber: 8q.25
peop\e