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Sergio [31]
3 years ago
8

There is a state soccer tournament with 128 teams competing for 1st place. Each week, half of the teams get eliminated. How many

teams remain after 6 weeks?
A.
16
B.
8
C.
4
D.
2
Mathematics
2 answers:
Margarita [4]3 years ago
8 0
\text{Let A denote the number of teams after n weeks}

A_0 = 128
A_1 = A_0(0.5) = 128(0.5)
A_2 = A_1(0.5) = 128(0.5)^{2}
A_3 = A_2(0.5) = 128(0.5)^{3}

A_n = 128(0.5)^{n}
A_6 = 128(0.5)^{6} = 2

Thus, after 6 weeks, there will only be 2 teams left.
V125BC [204]3 years ago
7 0
The answer is D.
Week 0 (start; initial): 128 TEAMS
Week 1: 64 teams
Week 2: 32 teams
Week 3: 16 teams
Week 4: 8 teams
Week 5: 4 teams
Week 6: 2 teams

You can also solve for this using a common ratio.
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