Given y inversely proportional to x and x = 3 for y = 4, what is x if y = 12?

Answer 1

#x=1# when #y=12#

If #y# is inversely proportional to #x# then #color(white)("XXX")xy =c color(white)("XXX")#for some constant #c#

We are told that #x=color(red)(3)# when #y=color(blue)(4)# therefore #color(white)("XXX")(color(red)(3))*(color(blue)(4)) = c# #rArrcolor(white)("XXX")c= 12#

So #xy = 12# and when #y=color(green)(12)# #color(white)("XXX")x(color(green)(12))=12#

#rArrcolor(white)("XXX")x=1#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Adamson

Using the inverse proportionality relationship (y \propto \frac{1}{x}), we can set up the equation (y_1 \cdot x_1 = y_2 \cdot x_2). Substituting the given values, we get (4 \cdot 3 = 12 \cdot x_2). Solving for (x_2), we find (x_2 = \frac{4 \cdot 3}{12} = 1). Therefore, when (y = 12), (x = 1).

By signing up, you agree to our Terms of Service and Privacy Policy

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.