If [tex]p[/tex] varies jointly as [tex]q[/tex] and [tex]r[/tex], and [tex]p = 4[/tex] when [tex]q = 2[/tex] and [tex]r = 6[/tex] find [tex]p[/tex] when [tex]q = 4[/tex] and [tex]r = 8[/tex]. Using the joint variation formula, [tex]\frac{p_1}{q_1r_1} =\frac{p_2}{q_2r_2}[/tex]
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If [tex]p[/tex] varies jointly as [tex]q[/tex] and [tex]r[/tex], and [tex]p = 4[/tex] when [tex]q = 2[/tex] and [tex]r = 6[/tex] find [tex]p[/tex] when [tex]q = 4[/tex] and [tex]r = 8[/tex].
Using the joint variation formula,
[tex]\frac{p_1}{q_1r_1} =\frac{p_2}{q_2r_2}[/tex]
we have
[tex]$$\begin{align}\frac{4}{(2)(6)}& =\frac{p}{(4)(8)}\\\frac{4}{12} &= \frac{p}{32} \\\frac{p}{32} &= \frac{4}{12} \\p &= 32\times \frac{4}{12}\\p &= \frac{32}{3}\end{align}[/tex]