word math issue algebra homework help

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Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

I graphed two linear functions, and the one with the greater rate of change had the greater slope.

Choose the correct answer below.

This does not make sense. According to the definition of linear functions, the initial value is equal to the slope of the graph. Thus, the rate of change does not relate to the slope.

B.This makes sense. According to the definition of linear functions, the initial value is equal to the slope of the graph. Thus, the rate of change does not relate to the slope.

C.This makes sense. According to the definition of linear functions, the rate of change is equal to the slope of the graph and the greater the rate of change, the greater the slope.

D.This does not make sense. According to the definition of linear functions, the slope of all linear functions must be the same.

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