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Which statement is always true?
A. A linear relationship is proportional.
B. A linear relationship is non-proportional.
C. A proportional relationship contains the point ( 0 , 0 ) .
D. A non-proportional relationship has a constant rate of change.

Respuesta :

TaeKwonDoIsDead

Answer:

A

Step-by-step explanation:

When we say proportional, we basically mean two quantities are based on a multiplicative constant. For example:

1:2 is proportional to 5:10, because if we reduce 5:10, we get 1:2.

Also, in terms of coordinate geometry, we can say line

y = ax

and

y = bx

are proportional if a:b = constant always.

We say that is a linear line. Linear relationship.

Now, looking at the answer choices, we can eliminate B and C [Choice C is easily eliminated because point (x,y) doesn't matter]. Also, we ccan eliminate D because this is just the opposite.

So answer choice A holds true.

A is right.

tatendagota

Answer:

Option A. A linear relationship is proportional.

Step-by-step explanation:

A linear relationship expresses the proportionality of the variable with respect to an output.

Let's take an example:

let the function be given as  y

Let the proportionally constant be given as  = C

Let the variable be  = k

If we say, y is proportional to K, it means that:

y [tex]\alpha K[/tex]

but we need to introduce a constant and generate a linear proportionality

Therefore, the relationship becomes:

[tex]y = CK[/tex]

The relationship will be proportional an is linear.

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