Question

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

Answer 1

Answer:

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

                              $y = \frac{1}{k} x$

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)

                        $k = \frac{8}{14} = 0.571$4

Step(ii):-

a) The equation  x= ky

The equation of y in terms of 'x'

                              $y = \frac{1}{k} x$

b)

      Given that x = 36 and k = 0.5714

The equation of y in terms of 'x'

                              $y = \frac{1}{k} x$

                             $y = \frac{36}{0.5714}$

                             y = 63.0