Question

If y varies directly as z and inversely as x and y = 10 and z = 5 when x = 12.5, find z when y= 37.5 and x = 2.

Answer 1

z is equal to 3.125

Explanation:

If y varies directly as z and inversely as x, we can write the following equation:

y = k * (z/x)

where k is the constant of proportionality. We can solve for k using the given values of y, z, and x:

y = k * (z/x)

10 = k * (5/12.5)

k = 24

Now we can use the value of k to find z when y = 37.5 and x = 2:

37.5 = 24 * (z/2)

z = 37.5 * 2 / 24

z = 3.125

Therefore, when y = 37.5 and x = 2, z is equal to 3.125.