Identify which of the following functions is proportional. (1 point)

Question

y=(1/2)x
У=1/(2x)
y=x+(1/2)
y=x^2

Answer 1

A function is considered proportional if it can be expressed in the form \( y = kx \), where \( k \) is a constant.

Let's analyze the given functions:

1. \( y = \frac{1}{2}x \) - This is proportional because it can be expressed in the form \( y = kx \) with \( k = \frac{1}{2} \).

2. \( y = \frac{1}{2x} \) - This is not proportional because it cannot be expressed as \( y = kx \).

3. \( y = x + \frac{1}{2} \) - This is not proportional because it includes a constant term \( \frac{1}{2} \), so it cannot be in the form \( y = kx \).

4. \( y = x^2 \) - This is not proportional because it cannot be expressed as \( y = kx \); it is a quadratic function.

Thus, the only function that is proportional is:

\( y = \frac{1}{2}x \).