Michelle7194 wrote:
If 0 < a < b and k = (2a + 7b)/b , which of the following must be true?
A. k < 2
B. k < 7
C. k < 9
D. k > 9
E. k > 11
We can simplify the given equation:
k = (2a + 7b)/b
k = 2a/b + 7b/b
k = 2a/b + 7
Since 0 < a < b, a/b must be less than 1, so 2a/b must be less than 2; thus, k < 2 + 7 or k < 9.
Answer: C
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