Question

2200 to manufacture 100 chairs and 4800 to manager facture 300 chairs.Assuming the relationship is linear,find an equation that expresses this relationship?

Answer 1

`f(x text{ chairs}) = 13x + 900`

Explanation:

`f(100) = 2200, f(300) = 4800, f(x) = ax + b`

`100a + b = 2200`
`300a + b = 4800`

`200a = 4800 - 2200 = 2600`

`a = 2600/200 = 26/2 = 13`

`100 * 13 + b = 2200`
`b = 2200 - 1300 = 900`