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.​

Answer 1

Equation of y in terms of x is:
`y = (7)/(4)x`

Explanation:

Proportion means that the change in one quantity causes change in other quantity.

Given that A proportional relationship exists between x and y.

It can be expressed mathematically as:

y ∝ x

When the proportionality symbol is removed, constant of proportionality is introduced which is usually denoted as k

`y = kx`

Given that y=14 when x=8

Putting in equation

`14 = k * 8\\k =(14)/(8)\\k = (7)/(4)`

Putting the value of k in equation

`y = (7)/(4)x`

Hence,

Equation of y in terms of x is:
`y = (7)/(4)x`