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Student Answer Form Unit 1

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Student Answer form Unit 1

1.
a. (0,41000) (2,46000)

b. M=2500 M= 46000-41000/2-0, M=5000/2, M=2500

c. Y=2500X+41000 M=2500 (2,46000) Y-46000=2500(X-2) Y-46000+46000=2500X-5000+46000 Y=2500X+41000

d. Y=56000 Y=2500X+41000 Y=2500(6)+41000 Y=15000+41000 Y=56000 X=6 for the number of years between 2002-2008

e. X=11 68500=2500X+41000 68500-41000=2500X+41000-41000 27500=2500X 27500/2500=250X/2500

2.
a. 2(W+3)+2W=78

b. L=21, W=18 2(W+3)+2W=78 2W+6+2W=78 4W+6=78 4W+6-6=78-6 4W=72 4W/4=72/4 W=18

c. P=64 2L+2W=P 2(21)+2(7+4)=P 42+14+8=P P=64

3.
a. Option 1 C= $35+4X Option 2 C= 6.5X

b. X6.5X 35+4X-4X>6.5X-4X 35>2.5X 35/2.5>2.5X/2.5 14>X
c. It would take less than or equal to 14 hours of court rental in order for Option 1 to be less costly than Option 2.

4.
a. X,Y Y=4X-3 -1,-7 Y=4(-1)-3 Y-7 1,1 Y=4(1)-3 Y=1 3,9 Y=4(3)-3 Y=9

b.

[pic]

c. X,Y -1,1 -2X-Y=1 -2(-1)-Y=1 2-Y=1 –Y=-1 Y=1 0,-1 -2(0)-Y=1 0-Y=1 –Y=1 Y=-1 1,-3 -2(1)-Y=1 -2-Y=1 –Y=3 Y=-3 2,-5 -2(2)-Y=1 -4-Y=1 –Y=5 Y=-5 3,-7 -2(3)-Y=1 -6-Y=1 –Y=7 Y=-7 4,-9 -2(4)-Y=1 -8-Y=1 –Y =9 Y=-9

d.

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