Question

Which equation represents a proportion?

a) y = 1/4x
b) y = 1/4x + 1
c) y = 1/4x + 4
d) None of the above

Answer 1

(a)

Step-by-step explanation:

the standard form of a proportional equation is

y = kx ← k is the constant of proportionality

From the list, the only one in this form is

(a)

y =
`(1)/(4)` x , with k =
`(1)/(4)`

Answer 2

The equation that represents a proportion is a) y = 1/4x. A proportion is a way of describing a relationship between values or constants in which y is directly proportional to x with a scale factor of 1/4.

Step-by-step explanation:

The equation that represents a proportion is a) y = 1/4x. A proportion is a way of describing a relationship between values or constants. In this equation, y is directly proportional to x with a scale factor of 1/4. Explanation:

The question asks which equation represents a proportion. A proportion is a statement that two ratios are equal. It can be written in the form a/b = c/d, where a, b, c, and d are numbers, and b and d are not zero. In the context of linear equations, a proportional relationship is one where the ratio of y to x is constant, which means there is no added constant term in the equationThis means that as x increases by a certain amount, y increases by a quarter of that amount.