Question

Which function, A or B, has a greater rate of change? Be sure to include the values for the rates of change in your answer. Explain your answer.

Answer 1

Answer:

The function B has a greater rate of change

Step-by-step explanation:

Function A is represented by the table:

Selecting the points (1, 5) and (2, 7)

The rate of change of function A:

`\begin{gathered} m_A=(7-5)/(2-1) \\ \\ m_A=2 \end{gathered}`

The rate of change of the function A = 2

Function B is represented by the graph:

(1, 1) and (2, 4)

`\begin{gathered} m_B=(4-1)/(2-1) \\ \\ m_B=3 \end{gathered}`

The rate of change of the function B = 3

The function B has a greater rate of change