Which equation has a constant of proportionality equal to 9 ? Choose 1 answer: (A) y=(81)/(3)x (B) y=9x (c) y=3x (D) y=(1)/(9)x

Question

Which equation has a constant of proportionality equal to 9 ? Choose 1 answer: (A)  y=(81)/(3)x (B)  y=9x (c)  y=3x (D)  y=(1)/(9)x

Bytelearn · Accepted Answer

Understand concept of constant: Understand the concept of constant of proportionality. The constant of proportionality in a direct variation y = kx is the value of k where y varies directly with x.Analyze option (A): Analyze option (A) y = (81)/(3)x. Simplify the equation to find the constant of proportionality. y = (81/3)x simplifies to y = 27x. The constant of proportionality here is 27.Analyze option (B): Analyze option (B) y = 9x. The equation is already in the form y = kx, where k is the constant of proportionality. Here, the constant of proportionality is 9.Analyze option (C): Analyze option (C) y = 3x. The equation is in the form y = kx, where k is the constant of proportionality. Here, the constant of proportionality is 3.Analyze option (D): Analyze option (D) y = (1)/(9)x. The equation is in the form y = kx, where k is the constant of proportionality. Here, the constant of proportionality is 1/9.Compare constants with required: Compare the constants of proportionality found in steps 2-5 with the required constant of proportionality, which is 9. Option (A) has a constant of 27, option (B) has a constant of 9, option (C) has a constant of 3, and option (D) has a constant of 1/9. Only option (B) has the constant of proportionality equal to 9.

Which equation has a constant of proportionality equal to $9$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $y=\frac{81}{3} x$ $\newline$ (B) $y=9 x$ $\newline$ (C) $y=3 x$ $\newline$ (D) $y=\frac{1}{9} x$

Full solution

More problems from Does x satisfy the equation?

Related topics

Which equation has a constant of proportionality equal to 999 ?\newlineChoose 111 answer:\newline(A) y=813x y=\frac{81}{3} x y=381​x\newline(B) y=9x y=9 x y=9x\newline(C) y=3x y=3 x y=3x\newline(D) y=19x y=\frac{1}{9} x y=91​x

Which equation has a constant of proportionality equal to $9$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $y=\frac{81}{3} x$ $\newline$ (B) $y=9 x$ $\newline$ (C) $y=3 x$ $\newline$ (D) $y=\frac{1}{9} x$