If x is inversely proportional to y, and y = 7 when x = 5, find the value of x, when y = 90.
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A.
7/18
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B.
7/19
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C.
9/21
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D.
8/19
Correct Answer:
A. 7/18
Explanation:
The correct answer is Option A: 7/18.
When two variables, x and y, are inversely proportional, their product remains constant, expressed by the formula x * y = k. Using the initial values provided, where x = 5 and y = 7, the constant k is calculated as 5 * 7 = 35. To find the new value of x when y is 90, we set up the equation x * 90 = 35. Solving for x by dividing both sides by 90 gives x = 35/90. Simplifying this fraction by dividing both the numerator and the denominator by 5 results in 7/18.
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