1. The problem is to determine if the function given by the points (6,20), (11,10), and (16,0) is linear or nonlinear. 2. A function is linear if the rate of change (slope) between any two points is constant. 3. Calculate the slope between the first two points: $$m_1 = \frac{10 - 20}{11 - 6} = \frac{-10}{5} = -2$$ 4. Calculate the slope between the last two points: $$m_2 = \frac{0 - 10}{16 - 11} = \frac{-10}{5} = -2$$ 5. Since $$m_1 = m_2 = -2$$, the slope is constant. 6. Therefore, the function is linear because the rate of change does not vary between points. 7. Final answer: The function is linear.