Question

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

Answer 1

Option C

{(0, 1), (1, 5), (2, 9)} represents possible inputs and outputs of the function

Solution:

Given function is:

y -1 = 4x

y = 4x + 1

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

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

Let us use the ordered pair (1, 4)

Substitute (x, y) = (1, 4) in given function

4 = 4(1) + 1

4 = 4 + 1

$4\neq 5$

Thus this set is not the required set

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

Let us use the ordered pair (4, 1)

Substitute (x, y) = (4, 1) in given function

1 = 4(4) + 1

1 = 16 + 1

$1\neq 17$

Thus this set is not the required set

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

Let us use the ordered pair (0, 1)

Substitute (x, y) = (0, 1) in given function

1 = 4(0) + 1

1 = 1

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

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

Let us use the ordered pair (1, 0)

Substitute (x, y) = (1, 0) in given function

0 = 4(1) + 1

0 = 4 + 1

$0\neq 5$

Thus this set is not the required set