Discover new information and insights with the help of IDNLearn.com. Get thorough and trustworthy answers to your queries from our extensive network of knowledgeable professionals.
Sagot :
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]
[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]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Your search for answers ends at IDNLearn.com. Thank you for visiting, and we hope to assist you again soon.