Question

Which statement describes the relationship between $x$ and $y$ coordinates shown in the following table?

$x$	$y$
4	1
5	2
7	4

• A. Subtract 3 from $x$ to get $y$.
• B. Multiply $x$ with 2, and then subtract 8 from the result to get $y$.
• C. Multiply $x$ with 3 to get $y$.
• D. Divide $x$ by 3 to get $y$.

Answer 1

The correct option is A Subtract 3 from $x$ to get $y$.

Plot the points (4, 1), (5, 2), and (7, 4).

$x$	Relation	$y$
$4$	$y=x-3$	$4-3=1$
$5$	$y=x-3$	$5-3=2$
$7$	$y=x-3$	$7-3=4$

The $x$ and $y$ coordinates in the table match with the coordinates in the given table.

$\text{Option B:}$

$x$	Relation	$y$
$4$	$y=x÷3$	$\frac{4}{3}$
$5$	$y=x÷3$	$\frac{5}{3}$
$7$	$y=x÷3$	$\frac{7}{3}$

The $x$ and $y$ coordinates in the table do not match with the coordinates in the given table.

$\text{Option C:}$

$x$	Relation	$y$
$4$	$y=3x$	$12$
$5$	$y=3x$	$15$
$7$	$y=3x$	$21$

The $x$ and $y$ coordinates in the table do not match with the coordinates in the given table.

$\text{Option D:}$

$x$	Relation	$y$
$4$	$y=2x-8$	$8-8=0$
$5$	$y=2x-8$	$10-8=2$
$7$	$y=2x-8$	$14-8=6$

The $x$ and $y$ coordinates in the table do not match with the coordinates in the given table.

Hence, option A is correct.