Suppose A varies directly as B and inversely as C squared. If A is decreased by 75% and C is increased by 2 times, find the percentage change in B

Answer 1

"A varies directly as B and inversely as C squared" means A = kB/C²

If C is increased by 2 times the C² increases by 4 times.

If A is decreased by 75% then we can say the new value of A is 0.25A or (1/4)A

Both sides of the equation are changing by (1/4) so B does not change at all.