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

Related Maths GCSE answers

All answers ▸

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.


Calculate the length of side AB (opposite) in a right angled triangle, where angle C is 32 degrees and length of BC (hypotenuse) is 8cm.


Factorise and Solve x^2 + 10x + 15 = -6


Re-arrange [4x+ 9t + 8s= 3g] to make x the subject of the formula