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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 !

Respuesta :

y varies directly to x

1. Write an equation

[tex]y = ax[/tex]

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

[tex]25 = a(15)[/tex]

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

[tex]a = 25/15[/tex]

[tex]y = ( \frac{25}{15})x[/tex]

when x = 6

[tex]y = (\frac{25}{15}) (6)[/tex]

[tex]y = \frac{150}{15} [/tex]

[tex]y = 10[/tex]

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