Alg II Question

Question

y varies inversely as x.

y=12

when

x=5.

Find y when

x=2.

Answer:

Answer 1

So this problem requires you to first solve for k, given y = 12 and x = 5, then use that k-value to solve for another y-value when x=2.

To start, let's solve for k! The inverse variation equation is y =k/x. Now if we plug in our given values we get: 12 = k/5. If we multiple both sides of the equation by 5, we can see that k = 60.

Now we need to use our new found k-value, k = 60 to find our second y-value given that x=2 this time.

Set it up: y = k/x --> y = 60/2 --> y = 30

Therefore when x = 2, y = 30