If y − 1 = 4x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

Question

If y − 1 = 4x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

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Thành Đạt 5 years 2021-07-24T06:12:44+00:00 1 Answers 47 views 0

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  1. Eirian
    0
    2021-07-24T06:14:02+00:00
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    Answer: {(0, 1), (1, 5), (2, 9)}



    Step-by-step explanation:


    Given linear equation: y-1=4x which can be rewritten as


    y=4x+1


    To find the set which represents possible inputs and outputs of the function. Let’s check all the options


    A. {(1, 4), (2, 8), (3, 12)}


    at x=1


    y=4(1)+1


    ⇒y=5≠4


    Thus this set is not the required set.


    B. {(4, 1), (8, 2), (12, 3)}


    at x=4


    y=4(4)+1


    ⇒y=16+1=17≠1


    Thus this set is not the required set.


    C.{(0, 1), (1, 5), (2, 9)}


    at x=0


    y=4(0)+1


    ⇒y=1


    Thus this set is the required set represents possible inputs and outputs of the function.


    D. {(1, 0), (5, 1), (9, 2)}


    at x=1


    y=5≠0


    Thus this set is not the required set.

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