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Which equation has a constant of proportionality equal to 0.25 ?
Choose 1 answer:
(A) 
y=25 x
(B) 
y=(5)/(2)x
(C) 
y=(1)/(4)x
(D) 
y=(1)/(25)x

Which equation has a constant of proportionality equal to 00.2525 ?\newlineChoose 11 answer:\newline(A) y=25x y=25 x \newline(B) y=52x y=\frac{5}{2} x \newline(C) y=14x y=\frac{1}{4} x \newline(D) y=125x y=\frac{1}{25} x

Full solution

Q. Which equation has a constant of proportionality equal to 00.2525 ?\newlineChoose 11 answer:\newline(A) y=25x y=25 x \newline(B) y=52x y=\frac{5}{2} x \newline(C) y=14x y=\frac{1}{4} x \newline(D) y=125x y=\frac{1}{25} x
  1. Define constant of proportionality: The constant of proportionality is the constant factor by which the input xx is multiplied to get the output yy in a directly proportional relationship, which can be represented as y=kxy = kx, where kk is the constant of proportionality. We need to find which equation has k=0.25k = 0.25.
  2. Check option (A): Let's check option (A) y=25xy = 25x. Here, the constant of proportionality would be 2525, which is not equal to 0.250.25.
  3. Check option (B): Now, let's check option (B) y=52xy = \frac{5}{2}x. The constant of proportionality here is 52\frac{5}{2}, which simplifies to 2.52.5, not 0.250.25.
  4. Check option (C): Next, let's check option (C) y=14xy = \frac{1}{4}x. The constant of proportionality here is 14\frac{1}{4}, which is equal to 0.250.25.
  5. Check option (D): Finally, let's check option (D) y=125xy = \frac{1}{25}x. The constant of proportionality here is 125\frac{1}{25}, which simplifies to 0.040.04, not 0.250.25.

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