#### 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