Assume that y is directly proportional to x.
$\text { If } x = 32 \text { and } y = 24$determine a linear model that relates y and x.
A) $y = \frac { 3 } { 5 } x$
B) $y = \frac { 4 } { 3 } x$
C) $y = \frac { 3 } { 4 } x$
D) $y = \frac { 2 } { 3 } x$
E) $y = \frac { 3 } { 2 } x$

Question

Assume that y is directly proportional to x. 
$\text { If } x = 32 \text { and } y = 24$determine a linear model that relates y and x. 
A) $y = \frac { 3 } { 5 } x$
B) $y = \frac { 4 } { 3 } x$
C) $y = \frac { 3 } { 4 } x$
D) $y = \frac { 2 } { 3 } x$
E) $y = \frac { 3 } { 2 } x$

Quizplus · Accepted Answer

Since y is directly proportional to x, the relationship between y and x can be expressed as $y = kx$, where k is the constant of proportionality. Given $x = 32$ and $y = 24$, we can find k by solving $24 = k \cdot 32$. This gives $k = \frac{24}{32} = \frac{3}{4}$. Therefore, the correct model is $y = \frac{3}{4}x$.

Assume That Y Is Directly Proportional to X If x=32 and y=24\text { If } x = 32 \text { and } y = 24 If x=32 and y=24

Assume That Y Is Directly Proportional to X $\text { If } x = 32 \text { and } y = 24$