Question

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 !

Answer 1

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 = ( (25)/(15))x`

when x = 6


`y = ((25)/(15)) (6)`


`y = (150)/(15)`


`y = 10`