Question

distance ball traveled
meters from thrower
seconds after throw
(2, 3)
(8, 6)
0.5 meters per second
0.8 meters per second
2 meters per second
3 meters per second

Explanation:

Identify the coordinates from the graph

$$ (x_1, y_1) = (2, 3) $$

$$ (x_2, y_2) = (8, 6) $$

Calculate the average rate of change

$$ \text{Average Rate of Change} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 3}{8 - 2} = \frac{3}{6} = 0.5 $$

State the final value with units

$$ \text{Average Rate of Change} = 0.5\text{ meters per second} $$

Answer:

• (A) 0.5 meters per second (Correct answer)
• (B) 0.8 meters per second
• (C) 2 meters per second
• (D) 3 meters per second