Join the IDNLearn.com community and start finding the answers you need today. Discover comprehensive answers to your questions from our community of experienced professionals.
Sagot :
To determine the correct equation that represents the relationship between [tex]\( x \)[/tex] and [tex]\( y \)[/tex], we need to translate the given condition into an algebraic expression.
The problem states that the number [tex]\( y \)[/tex] is [tex]\( 84 \)[/tex] less than the number [tex]\( x \)[/tex]. This means that if we start with the number [tex]\( x \)[/tex] and subtract [tex]\( 84 \)[/tex], we will get [tex]\( y \)[/tex].
Let's set up this relationship:
[tex]\[ y = x - 84 \][/tex]
This equation directly shows that [tex]\( y \)[/tex] is 84 less than [tex]\( x \)[/tex]. Now, let's compare this with the given options:
(A) [tex]\( y = x + 84 \)[/tex] : This equation suggests that [tex]\( y \)[/tex] is 84 more than [tex]\( x \)[/tex], which does not match the given relationship.
(B) [tex]\( y = \frac{1}{84}x \)[/tex] : This equation suggests a proportional relationship, which does not fit the description provided.
(C) [tex]\( y = 84x \)[/tex] : This equation implies multiplication, which again does not describe the relationship given in the problem.
(D) [tex]\( y = x - 84 \)[/tex] : This equation correctly represents that [tex]\( y \)[/tex] is 84 less than [tex]\( x \)[/tex].
Hence, the correct equation that represents the relationship between [tex]\( x \)[/tex] and [tex]\( y \)[/tex] is:
[tex]\[ \boxed{y = x - 84} \][/tex]
The problem states that the number [tex]\( y \)[/tex] is [tex]\( 84 \)[/tex] less than the number [tex]\( x \)[/tex]. This means that if we start with the number [tex]\( x \)[/tex] and subtract [tex]\( 84 \)[/tex], we will get [tex]\( y \)[/tex].
Let's set up this relationship:
[tex]\[ y = x - 84 \][/tex]
This equation directly shows that [tex]\( y \)[/tex] is 84 less than [tex]\( x \)[/tex]. Now, let's compare this with the given options:
(A) [tex]\( y = x + 84 \)[/tex] : This equation suggests that [tex]\( y \)[/tex] is 84 more than [tex]\( x \)[/tex], which does not match the given relationship.
(B) [tex]\( y = \frac{1}{84}x \)[/tex] : This equation suggests a proportional relationship, which does not fit the description provided.
(C) [tex]\( y = 84x \)[/tex] : This equation implies multiplication, which again does not describe the relationship given in the problem.
(D) [tex]\( y = x - 84 \)[/tex] : This equation correctly represents that [tex]\( y \)[/tex] is 84 less than [tex]\( x \)[/tex].
Hence, the correct equation that represents the relationship between [tex]\( x \)[/tex] and [tex]\( y \)[/tex] is:
[tex]\[ \boxed{y = x - 84} \][/tex]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.