Question

the value of y is directly proportional to the value of x. when x = 512, y = 128. what is the value of y when x = 64? 32 256 8 16

Explanation:

Step1: Find the constant of proportionality

Since $y$ is directly proportional to $x$, we have $y = kx$. When $x = 512$ and $y = 128$, we can find $k$ as $k=\frac{y}{x}=\frac{128}{512}=\frac{1}{4}$.

Step2: Find $y$ when $x = 64$

Substitute $x = 64$ and $k=\frac{1}{4}$ into $y = kx$. So $y=\frac{1}{4}\times64 = 16$.

Answer:

16