Question

T is directly proportional to


`√(x)`
T=400 when x = 625
(a) Find a formula for T in terms of x.​
pls help i need it urgently Pls pls pls

Answer 1

Explanation:

Given that ,

• T is directly proportional to √x .

Mathematically we can write it as ,

`\implies T \propto √(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* 625 \\\\\implies k =(400)/(625)\\\\\implies k= 0.64`

Therefore the required formula will be ,

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

Answer 2

(a) T = 16√x

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