Question

Find the value of y for a given value of x, if y varies directly with x.

Answer 1

Answer:

The value of y is 92 . The complete steps of the solution is provided below.

Step-by-step explanation:

We are given with

* y varies directly with X

* If y=128 when x=64.

The equation for direct variation equation is  y= k x.

Where 'k' is constant of variation.

By putting the values of x and y, we can find the value for k.

→ 128 = k (64)

Divide both sides by 64.

→ $\frac{128}{64}$ = k

Simplify it.

→ 2= k  or k =2

Plug in back 'k' as 2 into the equation y=k x.

We get y=2 x.

We are asked to find the value y when x=46.

Plug in x as 46 into the equation.

⇒ y=2(46)

⇒ y= 92

Thus the answer is 92.

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