Question

question 30 points 3

choose the table of values which has greater rate of change.

Explanation:

Calculate rate of change for the first table

Using the Rate of Change Comparison knowledge point

$$ m_1 = \frac{6 - 3}{2 - 1} = 3 $$

Calculate rate of change for the second table

Using the Rate of Change Comparison knowledge point

$$ m_2 = \frac{10 - 5}{2 - 1} = 5 $$

Compare the rates of change

Using the Rate of Change Comparison knowledge point

$$ 5 > 3 \implies m_2 > m_1 $$

Answer:

• (A) Table 1: x = [1, 2, 3], y = [3, 6, 9]
• (B) Table 2: x = [1, 2, 3], y = [5, 10, 15] (Correct answer)