Question

Suppose that z varies jointly as u and v and inversely as w, and that z=.8 and when u=8, v=6, w=5. How do you find z when u=3, v=10 and w=5?

Answer 1

$\huge\red{Answer}$

the initial statement is z∝uv/w

to convert to an equation multiply by k the constant

of variation

⇒z=kuv/w

to find k use the given condition

z=0.8 when u=8,v=6,w=5

z=kuv/w

⇒k=wzuv=5×0.83×10=0.86=860=215

equation is ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣∣22z=2uv15w22∣∣∣−−−−−−−−−−−−−

when u=3,v=10 and w=5

⇒z=2×3×1015×5=6075=45

HOPE IT HELPS YOU !!