Question

The number of sofas a factory produces varies directly with the number of hours the machinery is operational. Suppose the factory can produce 455 sofas in 48 hours. What is an equation that relates the number of sofas produced, n, with the amount of time, t, in hours? What is the graph of your equation?

Answer 1

n = kt where k is a constant of variation

455 = 48k

k = 455 / 48 = 9.479

Required equation is n = 9.479 t Answer

The graph will be a straight line passing through the origin with slope 9.479.