Question

T is directly proportional to

Answer 1

Answer:

(a) T = 16√x

Step-by-step explanation:

T is directly proportional to √x, so we can say,

T=k√x (where k is a constant)

now, according to the question,

400=k×√625

400=k×25

k=16

so, putting the value of k in the equation, T=16√x

Answered by GAUTHMATH

Answer 2

Step-by-step explanation:

Given that ,

• T is directly proportional to √x .

Mathematically we can write it as ,

$\implies T \propto \sqrt{x}$

Let k be the constant , therefore ,

$\implies T = kx$

Now when T = 400 and x = 625 , lets find the value of k , as ,

$\implies 400 = k\times 625 \\\\\implies k =\dfrac{400}{625}\\\\\implies k= 0.64$

Therefore the required formula will be ,

$\implies \underline{\underline{ T = 0.64x}}$