Write an equation that expresses the relationship. Use k as the constant of variation.
-$y = 55$ when $x = 3$
A) $y = \frac { 165 } { x }$
B) $y = \frac { 55 } { 3 } x$
C) $y = \frac { x } { 165 }$
D) $y = \frac { 1 } { 165 x }$

Question

Quizplus · Accepted Answer

Given $y = 55$ when $x = 3$, the direct variation equation is $y = kx$. Solving for $k$, $k = \frac{y}{x} = \frac{55}{3}$. Thus, $y = \frac{55}{3}x$, but none of the options match this directly. Option A, $y = \frac{165}{x}$, can be seen as a misinterpretation of the direct variation formula. Correctly, $y$ should vary directly as $x$, which would be $y = kx$, but none of the options correctly represent this with the given values. However, considering the constant of variation and the relationship provided, option A can be rearranged to fit a scenario where $y$ inversely varies with $x$, which is not the case here. My initial explanation aimed to correct the misunderstanding, but it appears there was a mistake in my interpretation. The correct approach to find the equation that expresses the direct relationship with $k$ as the constant of variation indeed leads to no perfect match in the options provided based on the direct variation formula.

Write an Equation That Expresses the Relationship y=55y = 55y=55 When x=3x = 3x=3

Write an Equation That Expresses the Relationship $y = 55$ When $x = 3$