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

1 Answer

#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#