Find the value of y for a given value of x, if y varies directly with x.
1 answer:
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.
→ = 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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Answer:
k =
Step-by-step explanation:
Fisherman noticed a stretch in the spring = 'b' centimetres
Weight of the fish = a kilograms
If force applied on a spring scale makes a stretch in the spring then Hook's law for the force applied is,
F = kΔx
Where k = spring constant
Δx = stretch in the spring
F = weight applied
F = mg
Here 'm' = mass of the fish
g = gravitational constant
F = a(9.8)
= 9.8a
Δx = b centimetres = 0.01b meters
Therefore, 9.8a = k(0.01b)
k =
k =
Therefore, spring constant of the spring will be determined by the expression, k =