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If t is an integer and 8m = 16t, which of the following expresses m in terms of t ?
If t is an integer and 8m = 16t, which of the following expresses m in terms of t ?
admin
2015-03-24
43
问题
If t is an integer and 8m = 16
t
, which of the following expresses m in terms of t ?
选项
A、2
t
B、2
t-3
C、2
3(t-3)
D、2
4t-3
E、2
4(t-3)
答案
D
解析
Note that all of the choices are expressions of the form 2 raised to a power. Expressing 8 and 16 as powers of 2, you can rewrite the given equation 8m = 16
t
as 2
3
m =(2
4
)
t
, which is the same as 2
3
m = 2
4t
. Solving for m and using the rules of exponents, you get m =
= 2
4t-3
. The correct answer is Choice D.
This explanation uses the following strategies.
Strategy 5: Simplify an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
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