Assume that y is directly proportional to x.Use the given x-value and y-value to find a linear model that relates y and x.
$x = 5 , y = 24$
A) $y = - \frac { 24 } { 5 } x$
B) $y = 24 x$
C) $y = - \frac { 5 } { 24 } x$
D) $y = \frac { 24 } { 5 } x$
E) $y = \frac { 5 } { 24 } x$

Question

Assume that y is directly proportional to x.Use the given x-value and y-value to find a linear model that relates y and x. 
 $x = 5 , y = 24$  
A) $y = - \frac { 24 } { 5 } x$
B) $y = 24 x$
C) $y = - \frac { 5 } { 24 } x$
D) $y = \frac { 24 } { 5 } x$
E) $y = \frac { 5 } { 24 } x$

Quizplus · Accepted Answer

Since y is directly proportional to x, the relationship can be modeled as $y = kx$, where k is the constant of proportionality. Given $x = 5$ and $y = 24$, we can solve for k: $24 = k \cdot 5$, which gives $k = \frac{24}{5}$. Therefore, the correct model is $y = \frac{24}{5}x$.

Assume That Y Is Directly Proportional to X x=5,y=24x = 5 , y = 24x=5,y=24

Assume That Y Is Directly Proportional to X $x = 5 , y = 24$