at a candy factory, a machine is putting cand...
at a candy factory, a machine is putting candy into a container. the graph shows the amount of candy (in pounds) in the container versus time (in minutes). (a) choose the statement that best describes how the time and amount of candy are related. then fill in the blank. as time increases, the amount of candy in the container decreases. at what rate is the amount of candy decreasing? pounds per minute as time increases, the amount of candy in the container increases. at what rate is the amount of candy increasing? pounds per minute (b) what is the amount of candy in the container at 0 minutes? pounds
Answer
# Answer:
(a) As time increases, the amount of candy in the container increases.
50 pounds per minute
(b) 200 pounds
# Explanation:
## Step1: Observe the graph trend
The graph is an upward - sloping line, so as time increases, the amount of candy increases.
## Step2: Calculate the rate of increase
Pick two points, say (0, 200) and (2, 300). The rate of change (slope) $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{300 - 200}{2-0}=50$ pounds per minute.
## Step3: Find the initial amount
When $x = 0$ (0 minutes), from the graph, $y = 200$ pounds.