The value of y when x = 5 is 45
<h3><u>Solution:</u></h3>
Given that y varies directly with x. This can be written mathematically as:
y ∝ x
---- eqn 1
Where "k" is the constant of propotionality
Given y = 27 when x = 3. Substitute these values in eqn 1
![27 = k \times 3\\\\k = \frac{27}{3} = 9](https://tex.z-dn.net/?f=27%20%3D%20k%20%5Ctimes%203%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B27%7D%7B3%7D%20%3D%209)
<h3>k = 9</h3>
Substitute k = 9 in eqn 1
y = 9x ----- eqn 2
<u><em>To find: y = ? and x = 5</em></u>
Substitute x = 5 in eqn 2
![y = 9 \times 5 = 45](https://tex.z-dn.net/?f=y%20%3D%209%20%5Ctimes%205%20%3D%2045)
Thus the value of y when x = 5 is 45