Question

find 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

$$ m_1 = \frac{19 - 10}{6 - 3} = \frac{9}{3} = 3 $$

$$ m_1 = \frac{25 - 19}{8 - 6} = \frac{6}{2} = 3 $$

Calculate rate of change for the second table

Using the Rate of Change Comparison knowledge point

$$ m_2 = \frac{16 - 11}{3 - 2} = \frac{5}{1} = 5 $$

$$ m_2 = \frac{21 - 16}{4 - 3} = \frac{5}{1} = 5 $$

Calculate rate of change for the third table

Using the Rate of Change Comparison knowledge point

$$ m_3 = \frac{10 - 8}{4 - 3} = \frac{2}{1} = 2 $$

$$ m_3 = \frac{18 - 10}{8 - 4} = \frac{8}{4} = 2 $$

Compare the rates of change

Using the Rate of Change Comparison knowledge point

$$ 5 > 3 > 2 \implies m_2 > m_1 > m_3 $$

Answer:

• (A) Table 1: x = [3, 6, 8], y = [10, 19, 25]
• (B) Table 2: x = [2, 3, 4], y = [11, 16, 21] (Correct answer)
• (C) Table 3: x = [3, 4, 8], y = [8, 10, 18]
• (D) All of the choices