Direct and Inverse Variations

Question

U is directly proportional to v and inversely proportional to the square root of t. If u=7.5, v=0.12, t=3.58, find the value of u when v=0.75, and t=2.5

Answer 1

U = kv/sqrt(t)

7.5 = k*0.12/sqrt(3.58)

7.5 * sqrt(3.58)/0.12 = k

k = 118.25554955265313044453633803626........

For v=0.75 and t = 2.5, U = 56.093532381193466785899137877659.....