Y varies directly as the square root of x, y=4 when x=324. What is y when x=361? round your answer to two decimal places if necessary.

Answer 1

Y = k * sqrt(x)

4 = k * sqrt(324)

4 = k * 18

k = 4/18 = 2/9

y = (2/9) sqrt(x) = f(x)

f(361) = (2/9)sqrt(361) = (2/9)(19) = 38/9