Question

A manufacturer of wire produced 1400 metres wire in the 5th year and 1600 metres in the 9th year. Assuming that the production increases uniformly by a fixed number every year, find the production in the 12th year?

Answer 1

m = (1,600 - 1,400)/(9 - 5) = 200/4 = 50

1,400 = 50(5) + b

1,400 = 250 + b

b = 1,150

f(x) = 50x + 1,150

f(12) = 50(12) + 1,150 = 600 + 1,150 = 1,750 m