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Math Doc Unit 1

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1a. Answer: (1.0, 228,000), (2.0, 216,000) 1a. Key work steps

1b. Answer: $-12,000 1b. Key work steps
Since M= y2-y1/x2-x1 then
M= 216,000-228,000/2.0-1.0
M=-12,000/2.0-1.0
M=-12,000/1.0
M=-12,000

1c. Answer: Y= (-12,000)*x+240,000 1c. Key work steps
Since Y=mx+b then and do figure m we use the formula m= (y2-y1)/(x2-x1)
I know now what m is in my equation in this situation it’s -12,000 and to figure b is just the Y intercept which in this case is 240,000. So I get my linear equation Y= (-12,000)*x+240,000.

1d. Answer: $126.000 1d. Key work steps
Now if this depreciation were to continue until 2019 then we use our formula to determine the value of the plane.
Y=(-12,000)*x+240,000 now x is the number of years from the end of our graphing years which was half way through 2009. So in this case x will = 9.5 years now to plug this in.
Y=(-12,000)*9.5+240,000
Y=114,000+240,000
Y= $126,000

2a. Answer: L=w-5 2a. Key work steps

2b. Answer: Width= 22.5 inches, Length is 17.5 inches 2b. Key work steps
Since p=2L+2W and our equation L=W-5 then
P=2(W-5)+2W
P=2W-10+2W
P=4W-10 We know that in this case P=80 inches so
80=4W-10
80+10=4W-10+10
90=4W
90/4=4W/4
22.5=W and since we know L= W-5 then L= (22.5)-5 L= 17.5

3a. Answer: C= $225+$10(x-2), C=(25x) 3a. Key work steps

3b. Answer:16.3 inches is needed 3b. Key work steps
Our inequality for this problem is 225+10(x-2)<25x so
225+10x-20<25x
225+20+10x-20+20<25x
245+10x<25x
245+10x-10x<25x-10x
245<15x
245/15<15x/15
16.3<x

4a. Answer: (-1,10), (0,7), (2,1), (4,-5) 4a. Key work steps
Since Y= -3x+7 and we know our x coordinates which are -1,0,2,4 then we plug them in
Y= -3(-1) +7, Y= 3+7, Y= 10
Y= -3(0) +7, Y= 0+7, Y= 7
Y= -3(2) +7, Y= -6+7, Y= 1
Y= -3(4) +7, Y= -12+7, Y= -5

4b. Answer: 4b. Key work steps

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