Tenjin is an apprentice at a sushi restaurant. He is impressed at how quickly the chefs can make large quantities of sushi and decides to see who can make 1,000 pieces of sushi faster, Chef Haru or Chef Akiko. He keeps track of how many sushi each chef makes for five days, and how much time it takes them. Tenjin also takes into account how long it takes each chef to set up their materials.
Tenjin keeps his data in two tables:
Che Haru:
Time (in minutes) 168, 190, 288, 328, 372
# of pieces 96, 107, 156, 175, 198
Chef Akiko:
Time (in minutes) 160, 200, 240, 280, 320
# of pieces 129, 159, 189, 219, 249
A. Construct two linear functions to model number of pieces (p) as a function of time in minutes (m) for each chef; identify which function models which chef.
B. Graph both linear functions on the same graph, either by hand or using an online graphing application. Label each function as Chef Haru or Chef Akiko.
C. Calculate how many HOURS each chef takes to make 500 pieces of sushi; round your answer to the nearest hour.
