Z varies directly as x and y, z = 6 when x=2 and y = 6. Find the value of z when x = 3 and y = 8

Mathematics

1 answer:

Monica [59]3 years ago

3 0

Answer:

Step-by-step explanation:

This is a joint variation problem:

z varies directly as x and y

Interpreting this;

z ∝ xy

Therefore;

z = kxy

z = 6, x = 2, y = 6

Now find k,

6 = 2 x 6 x k

6 = 12k

k = $\frac{1}{2}$

To find the value of z;

x = 3, y = 8

z = $\frac{1}{2}$ x 3 x 8 = 12

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