esparzatoni11
contestada

Which statement about the graph is true?


O The graph shows a proportional relationship because it is a line, and the difference between each point is the
same

O The graph shows a proportional relationship because it is a line, and each x-value is a multiple of 2.

O The graph does not show a proportional relationship because each point written as a ratio gives a different
value.

O The graph does not show a proportional relationship because a line that increases by 1 in the y-value cannot
have a constant of proportionality.

Which statement about the graph is true O The graph shows a proportional relationship because it is a line and the difference between each point is the same O T class=

Respuesta :

altavistard

Answer:

Step-by-step explanation:

None of these answers is correct.  The graph does not represent a proportional relationship because it does not go through (0, 0).

Corsaquix

Answer:

D. The graph does not show a proportional relationship because a line that increases by 1 in the y-value cannot have a constant of proportionality.

Step-by-step explanation:

All proportional relationships can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportionality. Therefore, all proportional relationships must pass through the origin (0, 0). Since the line shown does not pass through the origin, it cannot be a proportional relationship and we eliminate the first two answer choices.

The graph shows a straight line which represents a linear function, a prerequisite to being a proportional relationship. However, the function for the line is [tex]y=x+1[/tex], which is does not follow the format [tex]y=kx[/tex] and therefore does not pass through the origin. Because of this, the line does not have a constant of proportionality and therefore the answer is D. The graph does not show a proportional relationship because a line that increases by 1 in the y-value cannot have a constant of proportionality.

Otras preguntas