Question

If x and y vary directly and x = 16 when y = 24, find x when y = 36.
please tell full solution.​

Answer 1

Answer:

is given that n varies directly as m i.e. n∝m.

∴ n = km, where k is constant of variation

When m = 3, n = 12.

∴ 12 = k × 3

⇒ k = 4

So, the equation of variation is n = 4m.

When m = 6.5,

n = 4 × 6.5 = 26

When n = 28,

28 = 4n

 ⇒ n = 7

When m = 1.25,

n = 4 × 1.25 = 5

The complete table is given below.

 

m356.571.25n122026285

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Answer 2

Step-by-step explanation:

since they are directly proportional

it means if we divide them we will get the same concept..

i.e., x/y = 16/24. ( from 1st line)

now when y = 36, then x =?

putting values of y in x/y

we get

x/36 = 16/24

later on we will get

x = 24