Question

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

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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.

Answer 1

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

Answer 2

`\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}\,\,(y2-y1)/(x2-x1)\,\,\text{to find the rate of change}\\\\\text{Plug in the coordinates:}\\\\(3-5)/(3-0)\\\\\text{Solve:}\\\\(3-5)/(3-0)\\\\(-2)/(3) = \text{rate of change for function 2}\\`

`\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.}}`