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4 votes
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

2 Answers

1 vote

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}}

User Denis
by
6.9k points
5 votes

Answer:

(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

User Yotam Omer
by
6.8k points