Mathematics: 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.

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Compare the following functions to determine

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Hfruit

02.01.2022

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

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

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