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Which equation has a constant of proportionality equal to 3 ?
Choose 1 answer:
(A) 
y=(8)/(5)x
(B) 
y=(1)/(3)x
(c) 
y=(1)/(4)x
(D) 
y=(18)/(6)x

Which equation has a constant of proportionality equal to 33 ?\newlineChoose 11 answer:\newline(A) y=85x y=\frac{8}{5} x \newline(B) y=13x y=\frac{1}{3} x \newline(C) y=14x y=\frac{1}{4} x \newline(D) y=186x y=\frac{18}{6} x

Full solution

Q. Which equation has a constant of proportionality equal to 33 ?\newlineChoose 11 answer:\newline(A) y=85x y=\frac{8}{5} x \newline(B) y=13x y=\frac{1}{3} x \newline(C) y=14x y=\frac{1}{4} x \newline(D) y=186x y=\frac{18}{6} x
  1. Understand concept of constant: Understand the concept of constant of proportionality. The constant of proportionality in an equation of the form y=kxy = kx is the value of kk, where kk is a constant.
  2. Identify constant of proportionality: Identify the constant of proportionality in each given equation.\newlineFor equation (A) y=85xy = \frac{8}{5}x, the constant of proportionality is 85\frac{8}{5}.\newlineFor equation (B) y=13xy = \frac{1}{3}x, the constant of proportionality is 13\frac{1}{3}.\newlineFor equation (C) y=14xy = \frac{1}{4}x, the constant of proportionality is 14\frac{1}{4}.\newlineFor equation (D) y=186xy = \frac{18}{6}x, the constant of proportionality is 186\frac{18}{6}.
  3. Simplify constants if necessary: Simplify the constants of proportionality if necessary.\newlineFor equation DD, simplify 186\frac{18}{6} to get the constant of proportionality.\newline186=3\frac{18}{6} = 3
  4. Compare to desired value: Compare the constants of proportionality to the desired value of 33. Equation (A) has a constant of proportionality of 85\frac{8}{5}, which is not equal to 33. Equation (B) has a constant of proportionality of 13\frac{1}{3}, which is not equal to 33. Equation (C) has a constant of proportionality of 14\frac{1}{4}, which is not equal to 33. Equation (D) has a constant of proportionality of 33, which is equal to 33.
  5. Choose equation with constant: Choose the equation with the constant of proportionality equal to 33. The equation with the constant of proportionality equal to 33 is (D) y=186xy = \frac{18}{6}x.

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