Question

Using 50 boxes of nails a carpenter was able to finish 450 bird houses. Write an equation that can be used to express the relationship between the total number of birdhouses completed(t) and the boxes of nails(b) used.

Answer 1

`t\propto b\\ \\ \therefore \quad t=kb`

When t=450, b=50:


`450=k\cdot 50\\ \\ \therefore \quad k=\frac { 450 }{ 50 } =9\\ \\ \therefore \quad t=9b`