Question

Helllp :3


Directions: Suppose y varies directly as x. Write a direct variation equation that relates x any y. The solve.

1.If y=-11 when x=6, find x when y=44

Answer 1

\[y \space \alpha \space x\]
\[y \space = k \space x \space , \space where \space k \space is \space a \space constant\]
\[k \space = \space y \space \div x \space \]
\[y = -11 \space when \space x = -6 \space , \space \space k = -6 \div -11 = \]
\[y = \frac{ 6 }{ 11 } x\]
when y=44,
\[x = \frac{ 11 }{ 6 } \times 44 = 24 \]