Question
Decide whether the following statement makes sense(or is clearlytrue) or does not make sense(or is clearlyfalse). Explain your reasoning. I graphed two linearfunctions, and the
Decide whether the following statement makes sense(or is clearlytrue) or does not make sense(or is clearlyfalse). Explain your reasoning.
I graphed two linearfunctions, and the one with the greater rate of change had the greater slope.
Choose the correct answer below.
A. This makes sense. According to the definition of linearfunctions, the rate of change is equal to the slope of the graph and the greater the rate ofchange, the greater the slope.
B. This makes sense. According to the definition of linearfunctions, the initial value is equal to the slope of the graph.Thus, the rate of change does not relate to the slope.
C. This does not make sense. According to the definition of linearfunctions, the initial value is equal to the slope of the graph.Thus, the rate of change does not relate to the slope.
D. This does not make sense. According to the definition of linearfunctions, the slope of all linear functions must be the same.
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