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Which equation has a constant of proportionality equal to 5 ?
Choose 1 answer:
(A)
y=5x
(B)
y=(10)/(5)x
(c)
y=(5)/(25)x
(D)
y=(1)/(2)x

Which equation has a constant of proportionality equal to $5$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $y=5 x$ $\newline$ B $y=\frac{10}{5} x$ $\newline$ C) $y=\frac{5}{25} x$ $\newline$ (D) $y=\frac{1}{2} x$

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Identify linear and exponential functions

Full solution

Q. Which equation has a constant of proportionality equal to

5

?

\newline

Choose

1

answer:

\newline

(A)

y=5 x

\newline

B

y=\frac{10}{5} x

\newline

C)

y=\frac{5}{25} x

\newline

(D)

y=\frac{1}{2} x

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 $k$ . Here, we are looking for an equation where $k = 5$ .
Analyze option (A): Analyze option (A) $y = 5x$ . In this equation, the coefficient of $x$ is $5$ , which means the constant of proportionality is $5$ .
Analyze option (B): Analyze option (B) $y = \frac{10}{5}x$ . Simplify the equation by dividing $10$ by $5$ , which gives $y = 2x$ . The constant of proportionality here is $2$ , not $5$ .
Analyze option (C): Analyze option (C) $y = \frac{5}{25}x$ . Simplify the equation by dividing $5$ by $25$ , which gives $y = \frac{1}{5}x$ . The constant of proportionality here is $\frac{1}{5}$ , not $5$ .
Analyze option (D): Analyze option (D) $y = \frac{1}{2}x$ . In this equation, the coefficient of $x$ is $\frac{1}{2}$ , which means the constant of proportionality is $\frac{1}{2}$ , not $5$ .

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