Question

The quantity of p varies directly as q. When the value of p is 17, then the value of
qis 3.4.
a) Find the proportionality constant.
b) Write the equation of variation.​

Answer 1

Given,

$\[\begin{array}{l}p = 17\\q = 3.4\end{array}\]$

Solution,

a) Find the proportionality constant.

Consider the proportionality constant is k.

$\[\begin{array}{l}p \propto q\\ \Rightarrow p = kq\\ \Rightarrow 17 = k \times 3.4\\ \Rightarrow k = \frac{{3.4}}{{17}}\\ \Rightarrow k = 0.2\end{array}\]$

Hence the value of proportionality constant is 0.2.

b) Write the equation of variation.​

$\[p = 0.2q\]$

Hence the equation of variation is $\[p = 0.2q\]$.