Constant of proportionality from tables

Google Classroom

Problem

Which table has a constant of proportionality between $y$y and $x$x of $12$12?

Choose 1 answer:

Choose 1 answer:

• (Choice A, Checked, Correct)

  CORRECT (SELECTED)

  $x$x	$y$y
  $\dfrac{1}{2}$start fraction, 1, divided by, 2, end fraction	$6$6
  $2$2	$24$24
  $10$10	$120$120

• (Choice B, Incorrect)

  INCORRECT

  $x$x	$y$y
  $\dfrac{1}{4}$start fraction, 1, divided by, 4, end fraction	$3$3
  $3$3	$60$60
  $12$12	$144$144

  This table does not show a proportional relationship, so it does not have a constant of proportionality.
• (Choice C, Incorrect)

  INCORRECT

  $x$x	$y$y
  $\dfrac{1}{3}$start fraction, 1, divided by, 3, end fraction	$4$4
  $6$6	$78$78
  $9$9	$117$117

  This table does not show a proportional relationship, so it does not have a constant of proportionality.

Hint #11 / 5

If the constant of proportionality is $\greenD{12}$start color #1fab54, 12, end color #1fab54, then:

$\maroonD{y}=\greenD{12}\blueD{x}$start color #ca337c, y, end color #ca337c, equals, start color #1fab54, 12, end color #1fab54, start color #11accd, x, end color #11accd

Which table follows that pattern?

Hint #22 / 5

$x$x	$y$y	$\greenD{12}x$start color #1fab54, 12, end color #1fab54, x
$\dfrac{1}{2}$start fraction, 1, divided by, 2, end fraction	$6$6	$12\cdot\dfrac{1}{2}=6$12, dot, start fraction, 1, divided by, 2, end fraction, equals, 6
$2$2	$24$24	$12\cdot2=24$12, dot, 2, equals, 24
$10$10	$120$120	$12\cdot10=120$12, dot, 10, equals, 120

This table follows the pattern.

Hint #33 / 5

$x$x	$y$y	$\greenD{12}x$start color #1fab54, 12, end color #1fab54, x
$\dfrac{1}{4}$start fraction, 1, divided by, 4, end fraction	$3$3	$12\cdot\dfrac{1}{4}=3$12, dot, start fraction, 1, divided by, 4, end fraction, equals, 3
$3$3	$60$60	$12\cdot3=36$12, dot, 3, equals, 36
$12$12	$144$144	$12\cdot12=144$12, dot, 12, equals, 144

This table does not follow the pattern.

Hint #44 / 5

$x$x	$y$y	$\greenD{12}x$start color #1fab54, 12, end color #1fab54, x
$\dfrac{1}{3}$start fraction, 1, divided by, 3, end fraction	$4$4	$12\cdot\dfrac{1}{3}=4$12, dot, start fraction, 1, divided by, 3, end fraction, equals, 4
$6$6	$78$78	$12\cdot6=72$12, dot, 6, equals, 72
$9$9	$117$117	$12\cdot9=108$12, dot, 9, equals, 108

This table does not follow the pattern.

Hint #55 / 5

This is the table that shows a constant of proportionality of $12$12 between $y$y and $x$x.

$x$x	$y$y
$\dfrac{1}{2}$start fraction, 1, divided by, 2, end fraction	$6$6
$2$2	$24$24
$10$10	$120$120