Compare the following functions to determine which has a greater rate of change.

• Image above •

A. Function 1 has the greater rate of change.

B. Function 2 has the greater rate of change.

C. Function 1 and Function 2 have the same rate of change.

D. Not enough information is provided to compare rates of change.

Compare the following functions to determine which has a greater rate of change Image above A Function 1 has the greater rate of change B Function 2 has the gre class=

Respuesta :

D is the answer, explanation is because if you look in a bookmark you can see

[tex]\text{Hello there!}\\\\\text{Lets see if the rate of change for the two functions are the same}\\\\\text{We know that the rate of change for the first function is -2/3}\\\text{Lets find the rate of change for the second function}\\\\\text{We will use}\,\,\frac{y2-y1}{x2-x1}\,\,\text{to find the rate of change}\\\\\text{Plug in the coordinates:}\\\\\frac{3-5}{3-0}\\\\\text{Solve:}\\\\\frac{3-5}{3-0}\\\\\frac{-2}{3} = \text{rate of change for function 2}\\[/tex]

[tex]\text{The rate of change is the same for both functions}\\\\\text{This means that:}\\\\\large\boxed{\text{Answer: C. Function 1 and Function 2 have the same rate of change.}}[/tex]