There is a direct variation between x² and y, when x = 7 and y = 49. Find x when y = 100?
- 200, -200
- 50, -50
- 10, -10
- None of these
Explanation
Given the direct variation between x² and y, we can write:
x² = ky
where k is the constant of variation.
Step 1: Find the constant of variation k
When x = 7 and y = 49:
7² = k * 49
49 = k * 49
k = 1
Step 2: Write the equation of variation
x² = y
Step 3: Find x when y = 100
x² = 100
x = ±√100
x = ±10
The answer is: 10, -10.
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