Question

y is directly proportional to the square of x when y=24, x=2 . Find the value of y when x= 4​

Answer 1

Answer:

Given

$y \infty x2$

when

y=24 and x=2

then

value of y when x=4

$y \infty x2$

—› y=kx²

y =k(4)²

y=16k

Answer 2

The value of y in Case 2 is 96.

Given:-

Case 1,

y ~ x²

y = 24

x = 2

Case 2,

x = 4

To Find:-

The value of y in Case 2.

Solution:-

We can easily calculate the value of y in Case 2 by using these simple steps.

As

Case 1,

y ~ x²

y = 24

x = 2

Case 2,

x = 4

In Case 1,

$y \infty x²$

$y = k x²$

where K is the constant,

now, on putting the values,

$24 = k \times {2}^{2}$

$24 = k \times 4$

$k = \frac{24}{4}$

$k = 6$

Now, Case 2

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

$y = 6 \times {4}^{2}$

$y = 6 \times 16$

$y = 96$

Hence, The value of y in Case 2 is 96.

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