q varies jointly with v and s. When v=2 and s=3, q=24. Find the constant of variation, then write an equation to describe the relationship then use your equation to find q when v=4 and s=2.

Question

whpalmer4 · Answer

Do you know what joint variation means?

anonymous · Answer

yes

unklerhaukus · Answer

q varies jointly with v and s

$$q\propto vs\
q=kvs$$

anonymous · Answer

every z is the same # times x & y. (z varies jointyly with x & y.  Model = kxy

whpalmer4 · Answer

Right.  So, what is $k$ in this case?

$$q = k * v *s$$$$24 = k*2*3$$$$k =$$

Then use that value of $k$ to evaluate $$q = k * v * s$$ with $v=4,\, s=2$

whpalmer4 · Answer

You can also shortcut the latter computation by noticing that the first time around you have k*2*3 and the second time you have k*4*2, so the new value of q will simply be the old value of q*4/3

anonymous · Answer

okay, thank you :-)