Question

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

Answer 1

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

`y = (1)/(k) x`

b) y = 63.0

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 = (8)/(14) = 0.571`4

Step(ii):-

a) The equation x= ky

The equation of y in terms of 'x'

`y = (1)/(k) x`

b)

Given that x = 36 and k = 0.5714

The equation of y in terms of 'x'

`y = (1)/(k) x`

`y = (36)/(0.5714)`

y = 63.0