Hi, can you please help me answer this direct proportion question?
Somehow I keep getting it wrong and so I'd really appreciate some help. Please don't offer joke answers and possibly show me any workings out.
Thank you :)
In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.
This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.
Multiply the left by k, so [tex]y = \frac{k}{\sqrt{x} }[/tex]
we know that y= 5, for x = 36, so sub this in the equation
[tex]5 = \frac{k}{\sqrt{36} }[/tex]
simplify[tex]5 = \frac{k}{6 }[/tex]
re-arrange for k, k = 5*6 = 30
now we know k, we can create the real equation, [tex]y = \frac{30}{\sqrt{x} }[/tex]
