A proportional relationship exists between x and y. When X=8 the value of Y is 14

(a) Write an equation for y in terms of x.
(b)your equation to determine the value of y when x=36

Respuesta :

Answer:

a) The equation of y in terms of 'x'

                              [tex]y = \frac{1}{k} x[/tex]

b)     y = 63.0

Step-by-step explanation:

Step(i):-

Given that the' x' is proportional to 'y'

  x ∝ y

 x = ky

where 'k' is proportional constant

Given that x =8 and y=14

The equation   x= ky

                         8 = k (14)

                        [tex]k = \frac{8}{14} = 0.571[/tex]4

Step(ii):-

a) The equation  x= ky

The equation of y in terms of 'x'

                              [tex]y = \frac{1}{k} x[/tex]

b)

      Given that x = 36 and k = 0.5714

The equation of y in terms of 'x'

                              [tex]y = \frac{1}{k} x[/tex]

                             [tex]y = \frac{36}{0.5714}[/tex]

                             y = 63.0