Question

P varies directly as q. When q = 31.2, p = 20.8. Find p when q = 15.3.

Answer 1

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In this problem we have

$p=20.8\\q=31.2$

Find the value of k

$k=q/p$

Substitute the values

$k=31.2/20.8$

$k=1.5$

The linear equation is

$q=1.5p$

For $q=15.3$

Find the value of p

Substitute in the linear equation and solve for p

$15.3=1.5p$

$p=15.3/1.5=10.2$

therefore

the answer is the option a

$10.2$

Answer 2

a.10.2
p/q x 15.3 = 10.2