The value of y is directly proportional to the value of x. When x = 1024, y = 128.What is the value of y when x = 64? A. 32 B. 8 C. 16 D. 256
Question
The value of y is directly proportional to the value of x. When x = 1024, y = 128.What is the value of y when x = 64? A. 32 B. 8 C. 16 D. 256
Solution
Since y is directly proportional to x, we can say that y = kx, where k is the constant of proportionality.
First, we need to find the value of k. We can do this by substitifying the given values of x and y into the equation.
So, 128 = k * 1024.
Solving for k, we get k = 128 / 1024 = 0.125.
Now that we have the value of k, we can find the value of y when x = 64.
Substituting these values into the equation, we get y = 0.125 * 64 = 8.
So, the value of y when x = 64 is 8.
Therefore, the answer is B. 8.
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