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)  "  $y = \frac{1}{4} x$ " .

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Step-by-step 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 = $\frac{5}{2}x$ " ;  

Note:  This equation has a constant of proportionality that is " $\frac{5}{2}$ " ;  

and:  " $\frac{5}{2}$ " = $2\frac{1}{2}$ = 2.5 " ;  and:  " 2.5 ≠ 0.25 " .

Rule out "Choice 2 ".

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3) " y = $\frac{1}{4} x$ " ;  

Note:  This equation has a constant of proportionality that is " $\frac{1}{4}$ " ;

and: " $\frac{1}{4}$ " = " (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 = $\frac{1}{25}x$ " ;

Note:  This equation has a constant of proportionality that is " $\frac{1}{25} x$ " ;

and:  " $\frac{1}{25}$ " = " (1 ÷ 25 ) "  = 0.04 ;  and:  " 0.04 ≠ 0.25 " .

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The correct answer is:

→   Answer choice:  3)   " y = $\frac{1}{4}x$  " .

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Hope this is helpful to you!

Best wishes!

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