Question

: If x and y vary inversely as each other, and x = 10 when y = 6. Find y when x = 15.

Answer 1

Answer:

X varies y inversely

So x = k(1/y)

so x = k/y

if x = 10 and y = 6

then 10=k/6

or, k=60

now x = 15 y=?

so, 15=60/y

or, 15y = 60

or, y = 4

therefore , y=4(ans)

Answer 2

Answer:

When the value of x is 15, the value of y is 4

Step-by-step explanation:

They have given that x and y are inversely proportional to each other

Therefore x ∝ (1/y).

Implies x × y = k where k is proportionality constant.

For two sets of x and y values, we can write it as

                    $x_{1} y_{1}=x_{2}y_{2}$

Let the value of $x_{1}=10$

Let the value of $y_{1} =6$

To find the value of y when the value of x is 15,

Consider,

                   $x_{1} y_{1}=x_{2}y_{2}\\(10)(6)=(15)y_{2} \\y_{2}=4$

Therefore the value of y is 4.