Question

Choose the correct table for five ordered pairs which satisfy the equation $y=2x+1$.

• A.

  Ordered Pair	x	y
  $(0,1)$	0	1
  $(1,2)$	1	2
  $(2,5)$	2	5
  $(-1,-1)$	-1	-1
  $(-2,-3)$	-2	-3

• B.

  Ordered Pair	x	y
  $(0,1)$	0	1
  $(1,3)$	1	3
  $(2,4)$	2	4
  $(-1,-1)$	-1	-1
  $(-2,-3)$	-2	-3

• C.

  Ordered Pair	x	y
  $(0,1)$	0	1
  $(1,3)$	1	3
  $(2,5)$	2	5
  $(-1,-1)$	-1	-1
  $(-2,-4)$	-2	-4

• D.

  Ordered Pair	x	y
  $(0,1)$	0	1
  $(1,3)$	1	3
  $(2,5)$	2	5
  $(-1,-1)$	-1	-1
  $(-2,-3)$	-2	-3

Answer 1

The correct option is D

Ordered Pair	x	y
$(0,1)$	0	1
$(1,3)$	1	3
$(2,5)$	2	5
$(-1,-1)$	-1	-1
$(-2,-3)$	-2	-3

The given equation is $y=2x+1$.

We want to find out the values of $y$ after substituting the values of $x$ in $y=2x+1$ as per the following table.

x	y
0	?
1	?
2	?
-1	?
-2	?

Substituting the values of $x$ in $y=2x+1$:

$\bullet$ For $x=0$ , $y=(2\times 0)+1\Rightarrow y=1$
$\bullet$ For $x=1$ , $y=(2\times 1)+1\Rightarrow y=2+1=3$
$\bullet$ For $x=2$ , $y=(2\times 2)+1\Rightarrow y=4+1=5$
$\bullet$ For $x=-1$ , $y=(2\times (-1\left)\right)+1\Rightarrow y=-2+1=-1$
$\bullet$ For $x=-2$, $y=(2\times (-2\left)\right)+1\Rightarrow y=-4+1=-3$

Now, we get whole bunch of ordered pairs as

Ordered Pair	x	y
$(0,1)$	0	1
$(1,3)$	1	3
$(2,5)$	2	5
$(-1,-1)$	-1	-1
$(-2,-3)$	-2	-3

$\therefore$ Option (d.) is the correct one.