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

Function B has the greater rate of change.

Step-by-step 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=(\Delta y)/(\Delta x)=(9-0)/(9-0) \\ m_a=(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=(\Delta y)/(\Delta x)=(2-(-2))/(1-(-2))=(4)/(3) \\ m_b=(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.