2. 外语
  3. 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 ?

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问题 If t is an integer and 8m = 16t, which of the following expresses m in terms of t ?
选项 A、2t
B、2t-3
C、23(t-3)
D、24t-3
E、24(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 = 16t as 23m =(24)t, which is the same as 23m = 24t. Solving for m and using the rules of exponents, you get m == 24t-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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