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.

Answer: p = 9 when q = 5. Step-by-step explanation: p is inversely proportional to the square of q This means that: [tex]p = \frac{k}{q^2}[/tex] In which k is a constant multiplier. p is 25 when q is 3 We use this to find k. [tex]p = \frac{k}{q^2}[/tex] [tex]25 = \frac{k}{3^2}[/tex] [tex]k = 25*9 = 225[/tex] So [tex]p = \frac{225}{q^2}[/tex] Determine p when q is equal to 5. [tex]p = \frac{225}{q^2} = \frac{225}{5^2} = 9[/tex] p = 9 when q = 5. Log in to Reply

Answer:p = 9 when q = 5.

Step-by-step explanation:p is inversely proportional to the square of qThis means that:

[tex]p = \frac{k}{q^2}[/tex]

In which k is a constant multiplier.

p is 25 when q is 3We use this to find k.

[tex]p = \frac{k}{q^2}[/tex]

[tex]25 = \frac{k}{3^2}[/tex]

[tex]k = 25*9 = 225[/tex]

So

[tex]p = \frac{225}{q^2}[/tex]

Determine p when q is equal to 5.[tex]p = \frac{225}{q^2} = \frac{225}{5^2} = 9[/tex]

p = 9 when q = 5.