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Question

# Look at the functions given below. Function A: Function B: y = 7x + 1 Function B has rate of change compared to the rate of change for Function A.

A
smaller
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B
greater
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C
same
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D
constant
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Solution

## The correct option is B greaterLet's calculate the rate of change of function A Let choose any two points on the graph, say (0,3) and (1,7) Rate of change of function A = change in ychange in x =7 − 31 − 0 =4 Equation of function B: y = 7x + 1 Let's calculate the rate of change of Function B. At x = 1, y = 7×1+1=8 At x = 2, y = 7×2+1=15 Rate of change of function B = change in ychange in x =15 − 82 − 1 =7 Therefore, the rate of change is greater for function B.

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