For exercises 19-24, y varies directly with x


if y = 25 when x = 15, find y when x = 6.


Help me explain how to do it step by step !

Verified Answer :

y varies directly to x

1. Write an equation

\(y = ax\)

2. Substitute '25' for y and '15' for x

\(25 = a(15)\)

3. Move the variable (a) to the left side of the equation

\(a = 25/15\)

\(y = ( \frac{25}{15})x\)

when x = 6

\(y = (\frac{25}{15}) (6)\)

\(y = \frac{150}{15}\)

\(y = 10\)