The correct answer is D. y = 10x + 1, because the rate of change of the graphed function is 9.
The rate of change of a linear function is given by the coefficient of x. In this case, the coefficient of x in the graphed function is 3, so the rate of change of the graphed function is 3.
For the function y = 2x + 12, the coefficient of x is 2, which is less than the rate of change of the graphed function (3). Therefore, it does not have a greater rate of change.
For the function y = 10x + 1, the coefficient of x is 10, which is greater than the rate of change of the graphed function (3). Therefore, it has a greater rate of change.
Therefore, the correct answer is D. y = 10x + 1, because the rate of change of the graphed function is 9.
Which of these functions has a greater rate of change than the function graphed below, and why? A. y = 2x + 12, because the rate of change of the graphed function is 3 B. y = 2x + 12, because the rate of change of the graphed function is 9 C. y = 10x + 1, because the rate of change of the graphed function is 3 D. y = 10x + 1, because the rate of change of the graphed function is 9
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