Considering only functions with a greater rate of change than that of the function represented on the graph, which function has the lowest rate of change? (only one answer)

A) y = 13/7x - 7/3

B) y = 7/5x + 2/5

C) y = 11/8x + 3/8

D) y = 5/4x + 13/4

E) y = 5/3x - 8/3

Considering only functions with a greater rate of change than that of the function represented on the graph which function has the lowest rate of change only on class=

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Answer:

C (1.38)

Step-by-step explanation:

The graphed function has the slope 4/3, which is obvious:  As x increases from 0 to 1.5, y increases from -2 to 0.  Thus, m = rise / run = 2/1.5 = 4/3.

Which of the given functions have greater rates of change than 4/3?  These include A (1.86), B (1.4), C (1.38), E (1.67).  Of these, C has the lowest rate of change (1.38).

Answer:

C

Step-by-step explanation: