Question

If p inversely proportional to the square of a, and p is 8 when a is 3, determine p when q is equal to 2.

A. 72
B. 4
C. 32
D. 2

Answer 1

If p inversely proportional to the square of a, and p is 8 when a is 3, determine p when a is equal to 2.

Step-by-step explanation:

In an inverse proportion, as one variable increases, the other variable decreases, and vice versa. In this case, we have a inverse proportion between p and the square of a. Mathematically, the equation is p = k/a^2, where k is a constant.

We are given that when a = 3, p = 8. So, we can substitute these values into the equation to find the value of k.

8 = k/3^2 => 8 = k/9 => k = 72

Now, we can substitute the value of k into the equation and find the value of p when a = 2.

p = 72/2^2 => p = 72/4 => p = 18

Therefore, the value of p when a = 2 is 18. Therefore, the correct answer is B. 4.