Question

Which of the following functions has the greater rate of change? 00 Function A (0,3) Function B X Y -2. -2. 30 54 1 2. 4 6 6 10

Answer 1

Answer:

Function B has the greater rate of change.

Explanation:

Given the functions in the attached image;

The rate of change of function A is equal to the slope of the line;

$\begin{gathered} m_a=\frac{\Delta y}{\Delta x}=\frac{9-0}{9-0} \\ m_a=\frac{9}{9} \\ m_a=1 \end{gathered}$

The rate of change of the Function B is equal to the slope of the function;

$\begin{gathered} m_b=\frac{\Delta y}{\Delta x}=\frac{2-(-2)}{1-(-2)}=\frac{4}{3} \\ m_b=\frac{4}{3} \end{gathered}$

From the derived rate of change, we can see that the rate of change of the function B is more than that of Function A.

$m_b>m_a$

Therefore, Function B has the greater rate of change.