y is inversely proportional to d2 when d = 10, y = 4 d is directly proportional to x2 when x = 2, d = 24 Find a formula for y in terms of x. Give your answer in its simplest form.

y=k/d2
substituting:4=k/102
4=k/100
400=k
d=nx2
substituting:24=n x 22

24=4n
n=6
Eq1:y=400/d2
Eq2:d=6x2
y=400/(6x2)
y=400/36x4
y=200/13x4

AI
Answered by Abi I. Maths tutor

14465 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the following simultaneous equations: 2x + 2y = 14; 4x - 2y = 10


How do you solve algebraic fractions with quadratics?


Make y the subject of the following equation: 2x - y = 5


Suppose we have a circle whose radius is 5cm. If a sector of this circle has an area of 15 cm^2, what is the size its angle (in degrees)?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning