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maw [93]
4 years ago
13

Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 7.

Mathematics
1 answer:
9966 [12]4 years ago
5 0
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
----------------------------\\\\
\textit{we also know that }
\begin{cases}
y=15\\
x=6
\end{cases}\implies 15=k6\implies \cfrac{15}{6}=k
\\\\\\
therefore\qquad \boxed{y=\cfrac{15}{6}x}\\\\
----------------------------\\\\
\textit{what's \underline{y} when x=7?}\qquad y=\cfrac{15}{6}\cdot 7
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