Question

y ∝ √x If y = 60 when x = 36 find, x when y = 80​

Answer 1

Answer:

$\huge \mathcal \colorbox{green}{{ \color{yellow}{❀PêRfèCt ÀnsWër}}}$

Given y is directly proportional to

$\sqrt{x}$

then the equation relating them is

y =

$k\sqrt{x}$

← k is the constant of proportion

To find k use the condition y = 60 when x = 36, then

60 =

$k \sqrt{36}$

= 6k ( divide both sides by 6 )

10 = k

y =

$10\sqrt{x}$

← equation of proportion

When y = 80 , then

80 =

$10\sqrt{x} ( divide both sides by 10 )$

8 =

$\sqrt{x}$

( square both sides )

64 = x

Answer 2

Answer:

Answer is 48

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