x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2?
- 2.5
- 5
-
6.25
- 6.52
- 7.5
The correct answer is: C
Explanation
x = \(\frac{ Ky}{z}\)
x = 5, y = 2 and z = 1
x = \(\frac{ Ky}{z}\)
5 = \(\frac{ K2}{1}\)
K = \(\frac{5}{2}\) = 2.5
find x when y = 5 and z = 2
x = \(\frac{2.5 \times5}{2}\)
x = \(\frac{12.5}{2}\) = 6.25.