Question

Y is directly proportional to the square root of x

If y = 32 when x = 64 find,
y when x = 25

Please help​

Answer 1

y = 20

Explanation:

Given y is directly proportional to
`√(x)` , then the equation relating them is

y = k
`√(x)` ← k is the constant of proportion

To find k use the condition y = 32 when x = 64, then

32 = k
`√(64)` = 8k ( divide both sides by 8 )

4 = k

y = 4
`√(x)` ← equation of proportion

When x = 25, then

y = 4
`√(25)` = 4 × 5 = 20