Constant of proportionality from tables

Google Classroom

Problem

Which table has a constant of proportionality between $y$y and $x$x of $\dfrac{8}{5}$start fraction, 8, divided by, 5, end fraction?

Choose 1 answer:

Choose 1 answer:

• (Choice A, Checked, Correct)

  CORRECT (SELECTED)

  $x$x	$y$y
  $4$4	$\dfrac{32}{5}$start fraction, 32, divided by, 5, end fraction
  $10$10	$16$16
  $11$11	$\dfrac{88}{5}$start fraction, 88, divided by, 5, end fraction

• (Choice B, Incorrect)

  INCORRECT

  $x$x	$y$y
  $2$2	$\dfrac{14}{5}$start fraction, 14, divided by, 5, end fraction
  $6$6	$\dfrac{42}{5}$start fraction, 42, divided by, 5, end fraction
  $20$20	$28$28

  This table has a constant of proportionality of $\dfrac{7}{5}$start fraction, 7, divided by, 5, end fraction.
• (Choice C, Incorrect)

  INCORRECT

  $x$x	$y$y
  $5$5	$\dfrac{20}{3}$start fraction, 20, divided by, 3, end fraction
  $9$9	$12$12
  $12$12	$16$16

  This table has a constant of proportionality of $\dfrac{4}{3}$start fraction, 4, divided by, 3, end fraction.

Hint #11 / 5

If the constant of proportionality is $\greenD{\dfrac{8}{5}}$start color #1fab54, start fraction, 8, divided by, 5, end fraction, end color #1fab54, then:

$\maroonD{y}=\greenD{\dfrac{8}{5}}\blueD{x}$start color #ca337c, y, end color #ca337c, equals, start color #1fab54, start fraction, 8, divided by, 5, end fraction, end color #1fab54, start color #11accd, x, end color #11accd

Which table follows that pattern?

Hint #22 / 5

$x$x	$y$y	$\greenD{\dfrac{8}{5}}x$start color #1fab54, start fraction, 8, divided by, 5, end fraction, end color #1fab54, x
$4$4	$\dfrac{32}{5}$start fraction, 32, divided by, 5, end fraction	$\dfrac{8}{5}\cdot 4=\dfrac{32}{5}$start fraction, 8, divided by, 5, end fraction, dot, 4, equals, start fraction, 32, divided by, 5, end fraction
$10$10	$16$16	$\dfrac{8}{5}\cdot 10=16$start fraction, 8, divided by, 5, end fraction, dot, 10, equals, 16
$11$11	$\dfrac{88}{5}$start fraction, 88, divided by, 5, end fraction	$\dfrac{8}{5}\cdot 11=\dfrac{88}{5}$start fraction, 8, divided by, 5, end fraction, dot, 11, equals, start fraction, 88, divided by, 5, end fraction

This table follows the pattern.

Hint #33 / 5

$x$x	$y$y	$\greenD{\dfrac{8}{5}}x$start color #1fab54, start fraction, 8, divided by, 5, end fraction, end color #1fab54, x
$2$2	$\dfrac{14}{5}$start fraction, 14, divided by, 5, end fraction	$\dfrac{8}{5}\cdot 2=\dfrac{16}{5}$start fraction, 8, divided by, 5, end fraction, dot, 2, equals, start fraction, 16, divided by, 5, end fraction
$6$6	$\dfrac{42}{5}$start fraction, 42, divided by, 5, end fraction	$\dfrac{8}{5}\cdot 6=\dfrac{48}{5}$start fraction, 8, divided by, 5, end fraction, dot, 6, equals, start fraction, 48, divided by, 5, end fraction
$20$20	$28$28	$\dfrac{8}{5}\cdot 20=32$start fraction, 8, divided by, 5, end fraction, dot, 20, equals, 32

This table does not follow the pattern.

Hint #44 / 5

$x$x	$y$y	$\greenD{\dfrac{8}{5}}x$start color #1fab54, start fraction, 8, divided by, 5, end fraction, end color #1fab54, x
$5$5	$\dfrac{20}{3}$start fraction, 20, divided by, 3, end fraction	$\dfrac{8}{5}\cdot 5=8$start fraction, 8, divided by, 5, end fraction, dot, 5, equals, 8
$9$9	$12$12	$\dfrac{8}{5}\cdot 9=\dfrac{72}{5}$start fraction, 8, divided by, 5, end fraction, dot, 9, equals, start fraction, 72, divided by, 5, end fraction
$12$12	$16$16	$\dfrac{8}{5}\cdot 12=\dfrac{96}{5}$start fraction, 8, divided by, 5, end fraction, dot, 12, equals, start fraction, 96, divided by, 5, end fraction

This table does not follow the pattern.

Hint #55 / 5

This is the table that shows a constant of proportionality of $\dfrac{8}{5}$start fraction, 8, divided by, 5, end fraction between $y$y and $x$x.

$x$x	$y$y
$4$4	$\dfrac{32}{5}$start fraction, 32, divided by, 5, end fraction
$10$10	$16$16
$11$11	$\dfrac{88}{5}$start fraction, 88, divided by, 5, end fraction