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

Answer:

y = 20

Step-by-step explanation:

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 = 32 when x = 64, then

32 = k$\sqrt{64}$ = 8k ( divide both sides by 8 )

4 = k

y = 4$\sqrt{x}$ ← equation of proportion

When x = 25, then

y = 4$\sqrt{25}$ = 4 × 5 = 20