we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
or ![y=kx](/tpl/images/0488/1389/7f524.png)
In this problem we have
![p=20.8\\q=31.2](/tpl/images/0488/1389/3b5cf.png)
Find the value of k
![k=q/p](/tpl/images/0488/1389/4e54d.png)
Substitute the values
![k=31.2/20.8](/tpl/images/0488/1389/9a4d4.png)
![k=1.5](/tpl/images/0488/1389/e0b5f.png)
The linear equation is
![q=1.5p](/tpl/images/0488/1389/9df05.png)
For ![q=15.3](/tpl/images/0488/1389/01500.png)
Find the value of p
Substitute in the linear equation and solve for p
![15.3=1.5p](/tpl/images/0488/1389/34ea9.png)
![p=15.3/1.5=10.2](/tpl/images/0488/1389/b325e.png)
therefore
the answer is the option a
![10.2](/tpl/images/0488/1389/4abc0.png)