Question

y is directly proportional to the square of x . Given that y=8 when x=2

1) Find an equation connecting x and y.

2) Find y when x=3.

3) Find x when y= 50​

Answer 1

Answer:

1. y= kx^2

2.y =18

3. x = 5

Step-by-step explanation:

it is given that

y is directly proportional to square of x

therefore,

$y = k x {}^{2}$

now lets solve the question

1. equation will be
2. $y = kx {}^{2}$

given, y = 8 when x=2

from above equation,

8 = k*(2X2)

k=2

2. when x=3

$y = 2x {}^{2}$

gives y = 2*(3x3)

value of y = 2* 9

=18

3. when Y= 50, then

equation becomes

$50 = 2x {}^{2}$

solving for x, gives

$x {}^{2} = 25$

or, x=5