Question

Z varies directly as x and inversely as y. If z=226 z=226 when x=3 x=3 and y=8 y=8 , find z if x=7 x=7 and y=9 y=9 . (Round off your answer to the nearest hundredth.

Answer 1

Answer:

468.74.

Step-by-step explanation:

We have been given that z varies directly as x and inversely as y.  We can represent this information in an equation as:  

$z=\frac{kx}{y}$

First of all, we will find constant of variation using our given equation.

$226=\frac{k\cdot 3}{8}$

$226\cdot \frac{8}{3}=\frac{k\cdot 3}{8}\cdot \frac{8}{3}$

$\frac{1808}{3}=k$

Upon substituting our given values in our equation, we will get:

$z=\frac{\frac{1808}{3}\cdot 7}{9}$

$z=\frac{1808\cdot 7}{9\cdot 3}$

$z=\frac{12656}{27}$

$z=468.740\approx 468.74$

Therefore, z is approximately 468.74.

Answer 2

Answer: 468.74.

Step-by-step explanation:

i did the exam