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Question: Which of the following function rules satisfies the input-output table?



A ) f(x) = - 53x + 25
B ) f(x) = - 35x + 5
C ) f(x) = - 35x + 25
D ) None of the above

Steps to derive

 [Given input-output table.]


2 From the table, change in f(x)change in x = - 53.

3 As the ratios are same the function is linear.


4 The point (0, 25) lies on the graph of the function. So, y-intercept is 25.

5 The slope of the line is - 53.

 [Function rule.]
6 f(x) = - 53x + 25.



Hence the right answer is Option A

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