Q:

Look at this function: x y −12 −8 −8 −6 −4 −4 0 −2 Mina said that the function is linear. Jenna said that the function is nonlinear. Which of the following explains who is correct? A Mina, because for every 2-unit increase in x, there is an increase in y by 4 B Mina, because for every 4-unit increase in x, there is an increase in y by 2 C Jenna, because the point (0, −2) does not lie on the straight line that contains the other points D Jenna, because the point (−12, −8) does not lie on the straight line that contains the other points

Accepted Solution

A:
Answer:B Mina, because for every 4-unit increase in x, there is an increase in y by 2 Step-by-step explanation:This is a linear function because the change rate is regular from one point to the next.The X values go -12, -8,  -4, 0The Y values go -8, -6, -4, -2You can also verify it's linear by calculating the slope at two different locations.  The slope between the first two pairs (-12,-8) and (-8,-6) equals to 2.  Same goes for the other pairs... so, since it has a steady slope, it's linear.