x -8 -6 -4 -2\ny -5 -15 -45 -135\nis the relationship linear, exponential, or neither?\nchoose 1 answer:\na…

Explanation:

Step1: Check linearity (constant y-differences)

Calculate differences between consecutive $y$-values: $\Delta y_1 = -15 - (-5) = -10$ $\Delta y_2 = -45 - (-15) = -30$ $\Delta y_3 = -135 - (-45) = -90$ The differences are not constant, so not linear.

Step2: Check exponential (constant y-ratios)

Calculate ratios of consecutive $y$-values: $r_1 = \frac{-15}{-5} = 3$ $r_2 = \frac{-45}{-15} = 3$ $r_3 = \frac{-135}{-45} = 3$ The ratios are constant, so it is exponential.

Answer:

B. Exponential