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Name: _ [xf AL
Math 9 Linear Relations
Short Answer
1. Each square in the pattern has a side length of I em.
Figure 1 Figue2 Figure
oH
8) Create a table comparing the figure number with the area for that figure. Extend the table to include the
next two figures in the pattern,
Figure (n) Area (a)
: 4
2 4
3 &
LZ : ;
5 d
'b) What isa linear equation that represents this pattern?
| a+ 2n
2. a) What is the linear equation of the vertical line that passes through the point (3, 4)? 4
=3
t x
'b) What is the linear equation of the horizontal line that passes through the point (3, 4)?
\ 4 Yq a ’
aS Nam
ID: A
3. Theater tickets cost $65.00 each. Complete the table of values and develop a linear equation that relates the
cost to the number of tickets.
Number of Cost, ($)
Tickets,
: oS <650
2 Bo . \
2 as da
4 Qo
y 3 3a
4, Tracy is walking near a motion detector.
a) How far was Tracy from the sensor when she began walking?
sm
\) Was she walking toward or away from the motion sensor atthe time?
\ ~Tocurd
€) How long dit take her to reach the motion sensor?
) los
4 evs Name:
The graph shows the cost of photocopying. Use the graph to answer the following question(s).
4) Fill in the table of values using the graph above.
‘Number of Pages (p) | Cost ©)
10 $0.70
20 LI
30 32.10
4D $2.80
}) Determine the equation for the data in the graph above,
C= 0071p
©) How many pages could you photocopy if you had $35?
3S =.01p
BY 2 Tod pages
Poo
4d) Circle the best response.
Answering psc isan nampl of INTERPOLATION ch EXTRAPOLATION.) Name: 1: A
6. A long distance phone plan charges a flat fee of $8 per month, plus $0.10 per minute of call time.
a) Using the information above fill in the table below.
‘Number of Minutes Cost
©) ©
0 $e
10 S
a re}
oe HW
40 fe
z 50
5
2 “
70 T
2 1
}b) Write a linear equation to represent the relationship between the number of minutes of eall time, n, and the
total monthly cost,
2 Cz On 46
) Graph the linear relation using 0 min as the first point and 80 min as the last.
6
a} |
we
s
4
8
(os wv
z “
Boh
OB 4s" bo” go
san
©) What is the total cost for a month where the call time is 75 min?
\ Sig.se ‘Name:
Problem
1. Jada is considering two different payment plans for her gym membership. Plan A charges a flat fee of $40.00
each month. Plan B charges a flat fee of $20.00 each month plus $2.00 per visit.
4) Fil in the table for Plan A b) Fill inthe table for plan B
Month (m) Monthly Cost Visit Number] Total Cost (©)
© ©)
1 $40 1 a2
2 ‘$40 2 2y
3 ~o 3 26
4 4° 4 z
3 US 5 3d
6 uo 6 zee
7 qo 7 3yY
8 4D 8% ge
) Determine an equation for the data for Plan A.
co
¢) Determine an equation for the data for Plan b.
od Ce Bs47O
1b) Graph the two linear relations.
ross 67 FG eye
ysis - Name: wD: A
‘) Use the graph to help you identify when the two plans would have the same monthly cost.
| ot 1S vords:
& Fae plage vit ogy 12 is poy onl plan would xs es? Just your answer,
i Plo Bs
irhby Yo cof
Len es ue “Leap
Pina to
DBF
