Question

If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p when q is equal to 5.

a. 7
b. 10
c. 14
d. 25/5

Answer 1

To find p when q is equal to 5, we can use the inverse proportion formula and solve for the constant of proportionality. With the constant determined, we substitute the value of q and solve for p. The resulting value of p is 9.

Step-by-step explanation:

To solve this problem, we need to use the inverse proportion formula:

p = k/q^2

where p is the variable that is inversely proportional to q, and k is the constant of proportionality.

Given that p is 25 when q is 3, we can substitute these values into the equation to solve for k:

25 = k/3^2

25 = k/9

Multiplying both sides of the equation by 9, we have:

225 = k

Now we can use this value of k to find p when q is 5:

p = 225/5^2

p = 225/25

p = 9

Therefore, when q is equal to 5, p is equal to 9.