suppose y varies directly as x and y=9 when x3/2. find y x=1

Sagot :

Answer:

[tex]y = \frac{27}{2} [/tex]

SOLUTION:

DIRECT VARIATION

Solve for the constant of variation:

y = kz

[tex]9= k \times \frac{3}{2} [/tex]

[tex]9 = \frac{3k}{2} [/tex]

[tex]( \frac{3}{2} )(9) = \frac{3k}{2} ( \frac{3}{2} )[/tex]

[tex] \frac{27}{2} = k[/tex]

Find y, x = 1

[tex]y = \frac{27}{2} x[/tex]

[tex]y = \frac{27}{2} (1)[/tex]

[tex]y = \frac{27}{2} [/tex]