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y is directly proportional to the square root of x
If y = 32 when x = 64 find,
y when x = 25

Please help​

Sagot :

Answer:

y = 20

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x}[/tex] , then the equation relating them is

y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion

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

32 = k[tex]\sqrt{64}[/tex] = 8k ( divide both sides by 8 )

4 = k

y = 4[tex]\sqrt{x}[/tex] ← equation of proportion

When x = 25, then

y = 4[tex]\sqrt{25}[/tex] = 4 × 5 = 20

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