Which equation has a constant of proportionality equal to 2 ? Choose 1 answer: A y=(10)/(5)x (B) y=(2)/(2)x (c) y=(2)/(4)x (D) y=(22)/(2)x

Understand Constant of Proportionality: First, we need to understand that the constant of proportionality in an equation of the form y = kx is the value of k. This is the value that y is multiplied by to get x when y varies directly as x.Examine Option A: Now, let's examine option A: y = (10/5)x. To find the constant of proportionality, we simplify the fraction 10/5, which equals 2. Therefore, the constant of proportionality for option A is 2.Look at Option B: Next, let's look at option B: y = (2/2)x. Simplifying the fraction 2/2 gives us 1. So, the constant of proportionality for option B is 1, not 2.Check Option C: Then, we check option C: y = (2/4)x. Simplifying the fraction 2/4 gives us 1/2. Thus, the constant of proportionality for option C is 1/2, not 2.Evaluate Option D: Finally, we evaluate option D: y = (22/2)x. Simplifying the fraction 22/2 gives us 11. Hence, the constant of proportionality for option D is 11, not 2.

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Which equation has a constant of proportionality equal to 2 ?
Choose 1 answer:
A
y=(10)/(5)x
(B)
y=(2)/(2)x
(c)
y=(2)/(4)x
(D)
y=(22)/(2)x

Which equation has a constant of proportionality equal to $2$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $y=\frac{10}{5} x$ $\newline$ (B) $y=\frac{2}{2} x$ $\newline$ (C) $y=\frac{2}{4} x$ $\newline$ (D) $y=\frac{22}{2} x$

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Math Problems

Algebra 2

Write joint and combined variation equations II

Full solution

Q. Which equation has a constant of proportionality equal to

2

\newline

Choose

1

answer:

\newline

(A)

y=\frac{10}{5} x

\newline

(B)

y=\frac{2}{2} x

\newline

(C)

y=\frac{2}{4} x

\newline

(D)

y=\frac{22}{2} x

Understand Constant of Proportionality: First, we need to understand that the constant of proportionality in an equation of the form $y = kx$ is the value of $k$ . This is the value that $y$ is multiplied by to get $x$ when $y$ varies directly as $x$ .
Examine Option A: Now, let's examine option A: $y = \left(\frac{10}{5}\right)x$ . To find the constant of proportionality, we simplify the fraction $\frac{10}{5}$ , which equals $2$ . Therefore, the constant of proportionality for option A is $2$ .
Look at Option B: Next, let's look at option B: $y = \left(\frac{2}{2}\right)x$ . Simplifying the fraction $\frac{2}{2}$ gives us $1$ . So, the constant of proportionality for option B is $1$ , not $2$ .
Check Option C: Then, we check option C: $y = \frac{2}{4}x$ . Simplifying the fraction $\frac{2}{4}$ gives us $\frac{1}{2}$ . Thus, the constant of proportionality for option C is $\frac{1}{2}$ , not $2$ .
Evaluate Option D: Finally, we evaluate option D: $y = \left(\frac{22}{2}\right)x$ . Simplifying the fraction $\frac{22}{2}$ gives us $11$ . Hence, the constant of proportionality for option D is $11$ , not $2$ .