Question

If x varies directly as y and inversely as z, given that x=3, y=4 and z=8. Find the value of x when y

is 3 and z is 2

Answer 1

Explanation:

If x varies directly as y and inversely as z, then we can write:

x = k * (y / z)

where k is a constant of proportionality.

We can find the value of k by substituting the given values of x, y, and z:

3 = k * (4 / 8)

Simplifying the right-hand side:

3 = k * 0.5

k = 6

Now we can use this value of k to find x when y is 3 and z is 2:

x = 6 * (3 / 2)

x = 9

Therefore, when y is 3 and z is 2, x is equal to 9.