
Examples - Variation Word Problems
Direct Square Variation Word Problem Solver: Example
See More Variation Word Problem Examples solved by the Algebra Word Problem Solver.
- Solving Variation Word Problems
- Solving Inverse Variation Word Problems
- Solving Directly Proportional Variation Word Problems
What You Enter
If d varies directly as the square of t, and d = 11 when t = 3, find d when t = 6.
What You Get
If d varies directly as the square of t, and d = 11 when t = 3, find d when t = 6.
D = kT² Direct Variation Statement
11 = k * 3² // D = 11 WHEN T = 3 . Substitute values.
11
k = --- // Constant of Proportionality
3²
11
k = --- // Constant of Proportionality
9
11
D = ---T² // D as a Function of
9
D = (11 / 9 ) 6² // T = 6 . Substitute value.
D = (396 / 9 ) // D WHEN T = 6
D = 44 // D WHEN T = 6
Solution: D = 44
