Answer:
P = 160/A
Step-by-step explanation:
For P to vary inversely with A, we must have P be proportional to the reciprocal of A. The constant of proportionality is given.
Inversely proportional
Two quantities are directly proportional if there is a constant of proportionality (k) that multiplies one of them to give the value of the other:
y = kx
They are inversely proportional if the inverse of one of them can be multiplied by a constant of proportionality to give the value of the other:
y = k(1/x) = k/x
In this problem, the variables P and A are said to be inversely proportional. That means the equation that relates them will be of the form ...
P = k/A
You are given such a form with k=160, which is an appropriate value for the relation given by the problem. All you need to do is fill in the variable:
P = 160/A
