ChrisTuneridn
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1. Which equation has a constant of proportionality of 5?

A. [tex]y = 5 - x[/tex]
B. [tex]y = x + 5[/tex]
C. [tex]y = 10x[/tex]
D. [tex]y = 5x[/tex]

Sagot :

GinnyAnsweridn
To determine which equation has a constant of proportionality of 5, we need to recall the form of a proportional relationship, which is given by

[tex]\[ y = kx \][/tex]

where [tex]\( k \)[/tex] is the constant of proportionality.

Let’s examine each option:

- A. [tex]\( y = 5 - x \)[/tex]: This equation is not in the form [tex]\( y = kx \)[/tex]; it includes a subtraction operation and therefore does not represent a proportional relationship with a constant of 5.

- C. [tex]\( y = 10x \)[/tex]: This equation is in the proportional form [tex]\( y = kx \)[/tex], but here the constant of proportionality [tex]\( k \)[/tex] is 10, not 5.

- B. [tex]\( y = x + 5 \)[/tex]: This equation includes an addition operation and is not in the proportional form [tex]\( y = kx \)[/tex]. Therefore, it does not have a constant of proportionality.

- D. [tex]\( y = 5x \)[/tex]: This equation is in the form [tex]\( y = kx \)[/tex], with the constant of proportionality [tex]\( k \)[/tex] being 5.

Thus, out of the given options, the equation that has a constant of proportionality of 5 is:

D. [tex]\( y = 5x \)[/tex]
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