Constant of proportionality from tables

Google Classroom

Problem

Which table has a constant of proportionality between $y$y and $x$x of $0.6$0, point, 6?

Choose 1 answer:

Choose 1 answer:

• (Choice A, Incorrect)

  INCORRECT

  $x$x	$y$y
  $4$4	$7$7
  $6$6	$10$10
  $8$8	$13$13

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

  CORRECT (SELECTED)

  $x$x	$y$y
  $4$4	$2.4$2, point, 4
  $9$9	$5.4$5, point, 4
  $14$14	$8.4$8, point, 4

• (Choice C, Incorrect)

  INCORRECT

  $x$x	$y$y
  $3$3	$2$2
  $9$9	$6$6
  $15$15	$10$10

  This table has a constant of proportionality of $\dfrac{2}{3}$start fraction, 2, divided by, 3, end fraction.

Hint #11 / 5

If the constant of proportionality is $\greenD{0.6}$start color #1fab54, 0, point, 6, end color #1fab54, then:

$\maroonD{y}=\greenD{0.6}\blueD{x}$start color #ca337c, y, end color #ca337c, equals, start color #1fab54, 0, point, 6, end color #1fab54, start color #11accd, x, end color #11accd

Which table follows that pattern?

Hint #22 / 5

$x$x	$y$y	$\greenD{0.6}x$start color #1fab54, 0, point, 6, end color #1fab54, x
$4$4	$7$7	$0.6\cdot 4=2.4$0, point, 6, dot, 4, equals, 2, point, 4
$6$6	$10$10	$0.6\cdot 6=3.6$0, point, 6, dot, 6, equals, 3, point, 6
$8$8	$13$13	$0.6\cdot 8=4.8$0, point, 6, dot, 8, equals, 4, point, 8

This table does not follow the pattern.

Hint #33 / 5

$x$x	$y$y	$\greenD{0.6}x$start color #1fab54, 0, point, 6, end color #1fab54, x
$4$4	$2.4$2, point, 4	$0.6\cdot 4=2.4$0, point, 6, dot, 4, equals, 2, point, 4
$9$9	$5.4$5, point, 4	$0.6\cdot 9=5.4$0, point, 6, dot, 9, equals, 5, point, 4
$14$14	$8.4$8, point, 4	$0.6\cdot 14=8.4$0, point, 6, dot, 14, equals, 8, point, 4

This table follows the pattern.

Hint #44 / 5

$x$x	$y$y	$\greenD{0.6}x$start color #1fab54, 0, point, 6, end color #1fab54, x
$3$3	$2$2	$0.6\cdot 3=1.8$0, point, 6, dot, 3, equals, 1, point, 8
$9$9	$6$6	$0.6\cdot 9=5.4$0, point, 6, dot, 9, equals, 5, point, 4
$15$15	$10$10	$0.6\cdot 15=9$0, point, 6, dot, 15, equals, 9

This table does not follow the pattern.

Hint #55 / 5

This is the table that shows a constant of proportionality of $0.6$0, point, 6 between $y$y and $x$x.

$x$x	$y$y
$4$4	$2.4$2, point, 4
$9$9	$5.4$5, point, 4
$14$14	$8.4$8, point, 4