Question

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

Answer 1

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