Problema Solution

x varies directly as the square of a and inversely as t. How does x change when a is doubled? When both a and t are doubled?

Answer provided by our tutors

Initial Conditions:

x = ks^2/t

When s is doubled:

x = k(2s)^2/t

x = k(4s^2)/t

x = 4[ks^2/t]

Conclusion: x is multiplied by 4

When both s and t are doubled:

x = k(2s)^2/(2t)

x = k*4s^2/2t

x = k*2s^2/t

x = 2[ks^2/t]

Conclusion: x is doubled.