Find a mathematical model representing the statement.(Determine the constant of proportionality.)
Y is inversely proportional to x. $( y = 7 \text { when } x = 5 . )$
A) $y = \frac { 5 } { x }$
B) $y = \frac { x } { 35 }$
C) $y = 35 x$
D) $y = \frac { 35 } { x }$
E) $y = \frac { 7 } { x }$

Question

Find a mathematical model representing the statement.(Determine the constant of proportionality.)  
Y is inversely proportional to x. $( y = 7 \text { when } x = 5 . )$  
A) $y = \frac { 5 } { x }$
B) $y = \frac { x } { 35 }$
C) $y = 35 x$
D) $y = \frac { 35 } { x }$
E) $y = \frac { 7 } { x }$

Quizplus · Accepted Answer

Since $y$ is inversely proportional to $x$, the relationship can be represented as $y = \frac{k}{x}$, where $k$ is the constant of proportionality. Given $y = 7$ when $x = 5$, we can find $k$ by substituting these values into the equation, resulting in $7 = \frac{k}{5}$, which gives $k = 35$. Therefore, the correct model is $y = \frac{35}{x}$.

Find a Mathematical Model Representing the Statement (y=7 when x=5.)( y = 7 \text { when } x = 5 . )(y=7 when x=5.)

Find a Mathematical Model Representing the Statement $( y = 7 \text { when } x = 5 . )$