y is proportional to x^2 and that when y = 75, x = 5. Find a formula for y in terms of x and find y when x=3

In a proportional equation, you represent the factor of proportionality as k. In this case it means that y=kx^2. In the question you're given a number for both y and x. Sub these in in order to solve for k. This would mean that 75=k(5)^2. This leads to 75=25k. This leads to k=3. The formula for y in terms of x is therefore y=3x^2.Now that you have k you can sub in the value given to you in the question for x in order to find y. This leads you to have y=3(3)^2. y=3(9)y=27.

KI
Answered by Kesem I. Maths tutor

4636 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A class has 30 students. The mean height of the 14 boys is 1.52m. The mean height of all the students is 1.48m. Work out the mean height of the girls.


f(x) = (x+1)^2 and g(x) = 2(x-1); Show that gf(x) =2x(x+2)


A curve has equation y = x^3 - 48x. The point A on the curve has x coordinate -4. Is A a stationary point?


Expand and simplify 3(m + 4) – 2(4m + 1)


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