Question

Which equation has a constant of proportionality equal to 0.25?

Choose 1 answer:
1. y=25x
2. y=5/2x
3. y=1/4x
4. y=1/25x

Answer 1

Answer: The correct answer is:

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→ 3) "
`y = (1)/(4) x` " .

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Explanation:

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Let us consider all the answer choices given:

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1) " y = 25x " ;

Note: This equation has a constant of proportionality that is "25" ;

and: "25 ≠ 0.25 " .

Rule out "Choice 1 " .

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2) " y =
`(5)/(2)x` " ;

Note: This equation has a constant of proportionality that is "
`(5)/(2)` " ;

and: "
`(5)/(2)` " =
`2(1)/(2)` = 2.5 " ; and: " 2.5 ≠ 0.25 " .

Rule out "Choice 2 ".

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3) " y =
`(1)/(4) x` " ;

Note: This equation has a constant of proportionality that is "
`(1)/(4)` " ;

and: "
`(1)/(4)` " = " (1 ÷ 4)" = " 0.25 " ; and: " 0.25 = 0.25 " ; which suggests that this is the correct answer!

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Let us consider the last answer choice:

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4) " y =
`(1)/(25)x` " ;

Note: This equation has a constant of proportionality that is "
`(1)/(25) x` " ;

and: "
`(1)/(25)` " = " (1 ÷ 25 ) " = 0.04 ; and: " 0.04 ≠ 0.25 " .

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The correct answer is:

→ Answer choice: 3) " y =
`(1)/(4)x` " .

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Hope this is helpful to you!

Best wishes!

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