Question

If x-4 is directly proportional to the square of y and x=5 when y=2​

Answer 1

Answer: k = 1/4

Explanation:

If x−4 is directly proportional to the square of y, we can write this relationship as an equation:

x - 4 = ky^2

Plug in x = 5 and y = 2 into the equation. You should get 5 - 4 = k(2)^2. Simplify to get 1 = 4k and divide both sides by 4 to get k = 1/4 for the constant of proportionality.

Answer 2

x equals 6.25 when y = 3

Explanation:

We may enter these values into the equation to determine the value of k since we know that x = 5 when y = 2. k = 5 - 4 k = 1/4 * 2^2 1 = 4k We can now rewrite the equation as x - 4 = (1/4) * y^2 since we know the value of k. When y = 3, we enter y = 3 into the equation and solve for x to determine the value of x: 1 / 4 = x - 4 * 9 x - 4 = 9/4 x = 9/4 + 4 x = 9/4 + 16/4 x = 25/4 x = 6.25 * 3^2 x - 4 = (1/4) * Therefore, x equals 6.25 when y = 3.

I hope this helps