A maths question for all out there

[From: ] [author: ] [Date: 13-08-11] [Hit: ]

50 + 10 = $65.50C of Cingular =(0.75)(100) = $75Sprint is the best for 100 Minutes.3. For determining when Sprint and Verizon Charge the same rate.Cost of Sprint = Cost of Verizon25.......

C of Cingular = 0.75(M)

2. For 100 minutes:
C of Sprint = 25.75 + (0.30)(100) =25.75+30 = $55.75
C of Verizon = 55 + (0.1)(100) = 55.50 + 10 = $65.50
C of Cingular =(0.75)(100) = $75

Sprint is the best for 100 Minutes.

3. For determining when Sprint and Verizon Charge the same rate.

Cost of Sprint = Cost of Verizon
25.75 + 0.30M = 55.50 + 0.10M (Add -0.10M to both sides of equation)
25.75 + 0.20M = 55.50 (Add - 25.75 on both sides of equation)
0.20M = 29.75 (Divide by 0.20 on both sides of Equation)
M = 148. 75

Plug into above formula to check:
C of Sprint 25.75 + 0.30 (148.75)= 25.75+ 44.625 = $70.375
C of Verizon 55.50 + 0.10 (148.75) = 55.50 +14.875= $70.375

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SPRINT: C=25.75+0.3M
VERIZON: C=55.5+0.1M
CINGULAR: C=0.75M
2. M=100 gives:
SPRINT: C=25.75+0.3*100=$55.75
VERIZON: C=55.5+0.1*100=$65.5
CINGULAR: C=0.75*100=$75
So we would choose SPRINT.
3. 25.75+0.3M=55.5+0.1M
0.3M-0.1M=55.5-25.75
0.2M=29.75
M=29.75/0.2
M=148.75
They charge the same if we talk for 148.75 minutes.

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1.
S: C = $25.75 + $0.30M
V: C = $55.50 + $0.10M
CIN: C = $0.75M

2.
S: C = $25.75 + $0.30(100) = $25.75 + $30.00 = $55.75
V: C = $55.50 + $0.10(100) = $55.50 + $10.00 = $65.50
CIN: C = $0.75(100) = $75.00
Go with Sprint

3.
S = V, so
$25.75 + $0.30M = $55.50 + $0.10M
25.75 + 0.3M = 55.5 + 0.1M
0.3M - 0.1M = 55.5 - 25.75
0.2M = 29.75
M = 29.75/0.2 = 148.75 minutes

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