Question

A quantity u is the sum of two terms one partly constant and the other varies directly as the square of v if v is 2 when u is 35 and when v is 25 u is 203

Answer 1

u = k v^2 + c

35 = k * 4 + c
203 = k * 625 + c
-----------------------------subtract
-168 = - 621 k
k = 0.271
203 = 0.271 * 625 + c
c = 34
so
u = 0.271 * v^2 + 34