ISEE Word Problems Question 250: Answer and Explanation
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Question: 250
14. The value of a varies directly as the square root of b and varies inversely as c. If b is multiplied by 4 and c is divided by 2, then by what factor does a change from its original value?
- A.
- B.
- C. 4
- D. 8
Correct Answer: C
Explanation:
The answer is C
As a varies directly as the square root of b, a will increase by a factor equal to the square root of b. As b increases by a factor of 4, a will increase by a factor of 2. As a varies inversely as c, a will decrease by a factor equal to c. Because a decreases when c increases, a will increase when c decreases. As c is decreased by one half, a will increase by a factor of 2. As a increases by a factor of 2 for both b and c, a increases by a factor of 4.