Guzman Craig
05/06/2023 · Primary School
13. If \( y \) varies directly as \( x \) and \( y \) what is \( y \) in terms of \( c \) when (A) \( \frac{2 c}{3} \) (B) \( \frac{3}{2 c} \) (C) \( 20 c \) (D) \( \frac{96}{c} \)
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Tutor-Verified Answer
Step-by-step Solution
If \( y \) varies directly as \( x \), it means that there is a constant \( k \) such that:
\[
y = kx
\]
To express \( y \) in terms of \( c \), we need to know the relationship between \( x \) and \( c \). However, since the problem does not provide a specific relationship between \( x \) and \( c \), we can only express \( y \) in terms of \( c \) if we assume \( x \) is some function of \( c \).
Let's analyze the options given:
(A) \( \frac{2c}{3} \)
(B) \( \frac{3}{2c} \)
(C) \( 20c \)
(D) \( \frac{96}{c} \)
Without additional context or a specific relationship between \( x \) and \( c \), we cannot definitively determine which option represents \( y \) in terms of \( c \).
If you have more information about how \( x \) relates to \( c \), please provide it, and I can help you find \( y \) in terms of \( c \). Otherwise, any of the options could potentially represent \( y \) depending on the value of \( k \) and the relationship between \( x \) and \( c \).
Quick Answer
Without additional information, we cannot determine \( y \) in terms of \( c \).
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