A clothing factory is using a machine to dye a large batch of fabric. As the fabric runs through the machine, it gets dyed. The machine starts as soon as the fabric is inserted and turns off when the machine runs out of dye.
Let be the length of fabric remaining (in meters) to be dyed and let be the amount of dye used (in liters). The equation models as a function of . As shown in the graph below, this model is accurate only from when the machine starts until it turns off. (The endpoints of the graph show when the machine turns on and off.)
Length of fabric left to be dyed (meters)
y5101520253035404550x1020304050607080901000
Amount of dye used (liters)
Use the graph to complete each part.
(a)
The machine starts with The machine continues until there are
Each value in the
(Choose one)
is a length of fabric left to be dyed.
(b)
When the machine starts, When the machine turns off,
Each value in the
(Choose one)
is an amount of dye used so far by the machine.
(a)
The machine starts with 100 meters of fabric to be dyed. The machine continues until there are 60 meters of fabric left to be dyed.
Each value in the table is a length of fabric left to be dyed.
(b)
When the machine starts, 0 liters of dye have been used. When the machine turns off, 40 liters of dye have been used.
Each value in the table is an amount of dye used so far by the machine.