p varies directly as q and inversely as r if p = 4, p = 1 and r = 2 find p in terms of q and r
How rude, Luka. =(
p = kq/r
Assuming you meant p=4,q=1,r=2, that means
4 = k*1/2
So, k=8, and
p = 8q/r
To find the expression for p in terms of q and r, we need to use the given information that p varies directly as q and inversely as r.
If p varies directly as q, we can write it as p = kq, where k is the constant of variation.
If p varies inversely as r, we can write it as p = k/r.
Now, let's solve for the constant of variation, k.
Given that p = 4 when q = 1 and r = 2, we can substitute these values into either of the equations to find k.
Using the equation p = kq:
4 = k * 1
k = 4
Now, we can write the equation for p in terms of q and r using the value of k we just found:
p = 4q/r
Therefore, the expression for p in terms of q and r is p = 4q/r.