Question

2. Given that x varies inversely as y and when
x = 3, y = 30. Find (a) y when x = 2 and
(b) & when y = 10.
Answer is = yes= 1/60​

Answer 1

Answer:

(a) y = 45

(b) x = 9

Step-by-step explanation:

Now, according to the Question,

x ∝ (1/y)

read as "x is inversely proportional to y".

Now, there is no use if we keep it in this form, so to change the Proportionality symbol let's put in a constant 'k'.

Thus,

x = k(1/y)

xy = k

Now, given,

When x = 3, y = 30

So,

xy = k

(3)(30) = k

90 = k

∴ k = 90

Now, we have the value of our constant term, and that will never change so now we can solve the Question further.

(a)

When x = 2,

xy = k

(2)y = 90

y = 90/2

y = 45

Hence,

When x = 2, y = 45

(b)

When y = 10

xy = k

x(10) = 90

x = 90/10

x = 9

Hence,

When y = 10, x = 9

Hope it helped and believing you understood it. All the best.