Constant of proportionality from equations

Google Classroom

Problem

Which equation has a constant of proportionality equal to $0.25$0, point, 25?

Choose 1 answer:

Choose 1 answer:

• (Choice A, Incorrect)

  INCORRECT

  $y=25x$y, equals, 25, x

  The constant of proportionality of this equation is $25$25.
• (Choice B, Incorrect)

  INCORRECT

  $y=\dfrac{5}{2}x$y, equals, start fraction, 5, divided by, 2, end fraction, x

  The constant of proportionality of this equation is $\dfrac{5}{2}$start fraction, 5, divided by, 2, end fraction.
• (Choice C, Checked, Correct)

  CORRECT (SELECTED)

  $y=\dfrac{1}{4}x$y, equals, start fraction, 1, divided by, 4, end fraction, x
• (Choice D, Incorrect)

  INCORRECT

  $y=\dfrac{1}{25}x$y, equals, start fraction, 1, divided by, 25, end fraction, x

  The constant of proportionality of this equation is $\dfrac{1}{25}$start fraction, 1, divided by, 25, end fraction.

Hint #11 / 3

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

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

In which equation do we multiply $\blueD{x}$start color #11accd, x, end color #11accd by $\greenD{0.25}$start color #1fab54, 0, point, 25, end color #1fab54 to get $\maroonD{y}$start color #ca337c, y, end color #ca337c?

Hint #22 / 3

$\greenD{\dfrac{1}{4}}=\greenD{0.25}$start color #1fab54, start fraction, 1, divided by, 4, end fraction, end color #1fab54, equals, start color #1fab54, 0, point, 25, end color #1fab54

Hint #33 / 3

The equation $\maroonD{y}=\greenD{\dfrac{1}{4}}\blueD{x}$start color #ca337c, y, end color #ca337c, equals, start color #1fab54, start fraction, 1, divided by, 4, end fraction, end color #1fab54, start color #11accd, x, end color #11accd has a constant of proportionality equal to $0.25$0, point, 25.