Mid-Unit Task (Required) (15 marks Application)

1. Rachel and Olivia work at a commercial greenhouse. It takes Rachel three times as long as Olivia to plant a row. Together they complete a row in 10 hours. How long does Olivia take to plant a row alone? Work Rate Time Rachel Olivia Together

2. Suppose the time to complete a row is dependent on the number of plants needed. For Lillian, the time it takes her is given by the function: L(x) = 0.5x + 4 where L(x) is time, in hours, and x is the plant density. Similar functions can be written for Roger and Massimo. Work (m) Rate Time (h) Lillian L(x) = 0.5x + 4 Roger R(x) = 2x Massimo M(x) = x+1 a. Create a rate function for each of the employees. Assume all rows are a standard 10 m. b. Plant density at this nursery is given a value from 0 to 10. Create a plot of each rate function. c. For what densities is Lillian the most efficient? For what densities is Roger the most efficient? d. Where are Roger and Massimo equally efficient? Massimo and Lillian? Please show an algebraic and graphical solution. Submit your answers via the DropBox below!