P varies directly with Q and inversely with R. P=9, when Q=3 and R=4. How do you find Q when P=1 and R=1/2?

Answer 1

Ethan Adkins

#Q=1/24#

If #P# varies directly with #Q# and inversely with #R# then #color(white)("XXX")(P * R)/Q=k# for some constant #k#

If #P=9, Q=3, and R=4# then #color(white)("XXX")(9 * 4)/3=kcolor(white)("xx")rarrcolor(white)("xx")k=12#

So when #P=1# and #R=1/2# #color(white)("XXX")(1 * 1/2)/Q=12#

#color(white)("XXX")1/2=12Q#

#color(white)("XXX")Q=1/24#

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Answer 2

Hazel Anglin

Using the given information, the equation representing the direct and inverse variation is ( P = \frac{{kQ}}{{R}} ). To find the value of ( k ), substitute the given values ( P = 9 ), ( Q = 3 ), and ( R = 4 ) into the equation. Then solve for ( k ). After finding ( k ), substitute the values ( P = 1 ) and ( R = \frac{1}{2} ) into the equation and solve for ( Q ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.