If p varies inversely with q, and p=2 when q=1, find the equation that relates p and q.
p * q = 2
P=k/q where k is a constant. 2=k/1 k=2*1=2 p=2/q is the relationship between p and q
If p varies inversely with q, it means that the product of p and q will always be a constant. Let's call this constant k.
So, we can write the equation as:
p * q = k
Given that p=2 when q=1, we can substitute these values into the equation:
2 * 1 = k
Simplifying, we find:
2 = k
Therefore, the equation relating p and q is:
p * q = 2
To find the equation that relates p and q when p varies inversely with q, we can start by writing the general equation for inverse variation:
p = k/q
where k is the constant of variation.
We are given that when p = 2, q = 1. We can substitute these values into the equation to find the value of k:
2 = k/1
k = 2
Now that we know the value of k, we can substitute it back into the general equation to get the specific equation that relates p and q:
p = 2/q
So, the equation that relates p and q when p varies inversely with q is p = 2/q.