If y varies directly as (sqrt{n}) and y = 4 when n = 4, find y when n = 1(frac{7}{9})
-
A.
(sqrt{17}) -
B.
(frac{4}{3}) -
C.
(frac{8}{3}) -
D.
(frac{2}{3})
Correct Answer: Option C
Explanation
y (propto sqrt{n})
y = k(sqrt{n})
when y = 4, n = 4
4 = k(sqrt{4})
4 = 2k
k = 2
Therefore,
y = 2(sqrt{n})
y = 2(sqrt{frac{16}{9}})
y = 2((frac{4}{3}))
y = (frac{8}{3})
There is an explanation video available below.