consider the equation y = 8 - 3x. for every increase of 1 in the x- variable, what is the change in the y- variable?. a) increase of 3. b) increase of 8. c) decrease of 3. d) decrease of 8

Respuesta :

The change in the y-variable would be decrease of 3. The correct answer between all the choices given is the third choice or letter C. I am hoping that this answer has satisfied your query about and it will be able to help you.

Answer:

C


Step-by-step explanation:

The general form of a line's equation is  [tex]y=mx+b[/tex]

Where,

  • m [the coefficient of [tex]x[/tex] ] is the slope
  • b is the y-intercept

What is slope's interpretation?

The slope is the change in [tex]y[/tex] per unit of change in [tex]x[/tex]

For our problem, comparing [tex]y=8-3x[/tex] with the general form tells us that the slope is [tex]-3[/tex]. We can write [tex]-3[/tex] as [tex]\frac{-3}{1}[/tex]

Thus, we can say there is a change in [tex]y[/tex] of 3 units [decrease, because of negative sign] per unit change of [tex]x[/tex]

Hence, the change in [tex]y[/tex] variable is decrease of 3 units. Answer choice C is correct.