Get an answer in 5 minutes

We'll notify as soon as your question has been answered.

Ask a question to our educators
MATHS

# P is inversely proportional to the square of Q(P,Q > 0). When P=3, Q=4. Find an equation for P in terms of Q and find the exact value of Q when P=8?

An inverse proportionality means that the two variables are related in a manner like: P=b/Q^2 or P(Q^2)=b where b is a constant of proportionality. If you now substitute the known values for P and Q you will get the value of b: 3*(4^2)=3*16=48. Therefore b=48. So the equation of P in terms of Q is: P=48/Q^2. To find Q when P is 8, you should now solve the equation for Q, so you get: Q^2=48/8=6 therefore Q=sqrt(6). Notice here you take only the positive value of the square root as P,Q are both positive.

Fotios Tsitsos
·

6.7k students helped

## Similar Maths questions

Maths

Asked by Harvey is a

Simplify 3x-9d+7c+5d

Maths

8n-5

## What is Q&A on Scoodle?

At Scoodle we understand that everyone learns in a different way. Some people learn through practice, using essays and notes; others prefer video lessons to watch and learn, some just need help with a specifically hard question, while some learn best 1-on-1 tutoring sessions. At Scoodle we cater for all types of learning styles and needs. From GCSE Maths video lessons to A-level English essays and specialist educators in every subject - we’ve got you covered.

Scoodle has helped over 131,000 students so far

Need help with Maths?

Getting expert help from a tutor is a great way to improve your Maths grades.

## Discover learning resources by tutors

Learn Maths with Video Lessons
1hr 28m · 8 videos
Paja Kruzikova
·

649 students helped

GCSE Maths - Numbers
28m · 3 videos
Iqbal Lokman
·

1.4k students helped

1hr 32m · 9 videos
Paja Kruzikova
·

649 students helped

GCSE Maths - Ratios
56m · 6 videos
Paja Kruzikova
·

649 students helped

GCSE Maths - Algebra A
1hr 14m · 7 videos
Paja Kruzikova
·

649 students helped

GCSE Maths - Algebra B
1hr 27m · 9 videos
Paja Kruzikova
·

649 students helped

GCSE Maths - Algebra C