Question

p varies directly as q. When q = 31.2, p = 20.8. Find p when q = 15.3.a.10.2b.22.95c.42.4i got B ...?

Answer 1

A direct relationship is an association between two variables such that they rise and fall in value together. In another terms, one of the variables is equal to the other times a constant. In our case, we have

`p=kq`

Where k is a constant. To find k, we can use the relation we already know the values.

`\begin{gathered} p(31.2)=20.8 \\ \implies20.8=31.2k \\ k=(20.8)/(31.2) \\ k=(2)/(3) \end{gathered}`

Then, the relation between our variables is

`p=(2)/(3)q`

Evaluating q = 15.3 on this expression, we have

`p=(2)/(3)*(15.3)=10.2`

The answer is 10.2.