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hoa [83]
2 years ago
9

y is directly proportional to the square root of x, y is 75 and x is 100. find a formula linking x and y

Mathematics
1 answer:
Law Incorporation [45]2 years ago
3 0

Answer:

y = 7.5\sqrt{x}

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 = 75 , x = 100 , then

75 = k\sqrt{100} = 10k ( divide both sides by 10 )

7.5 = k

y = 7.5\sqrt{x} ← equation of proportion

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