Question

Consider the two functions shown here. Which function has the greater rate of change? Explain your answer. Responses A Function 1, because its rate of change is ½ .Function 1, because its rate of change is ½ . B Function 1, because its rate of change is 2.Function 1, because its rate of change is 2. C Function 2, because its rate of change is ½.Function 2, because its rate of change is ½. D Function 2, because its rate of change is 7.

Answer 1

Explanation:

The rate of change of a function is its slope, which is the ratio of the change in the y-coordinate to the change in the x-coordinate. The slope is also known as the "rise over run" or "change in y over change in x".From the given information, the first function is y=x+2 and the second function is y=7x-2.The rate of change of the first function is 1, because the y-coordinate changes by 1 unit for every 1 unit change in the x-coordinate. The rate of change of the second function is 7, because the y-coordinate changes by 7 units for every 1 unit change in the x-coordinate.Therefore the correct answer is D) Function 2, because its rate of change is 7.

Answer 2

Function 1 has the greater rate of change because it is 2. Function 2's rate is 1/2

Explanation: