at a candy factory, a machine is putting candy into a container. the graph shows the amount of candy (in…
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) what is the amount of candy in the container at 0 minutes? pounds (b) 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
Answer
Explanation:
Step1: Find initial - value
The amount of candy at 0 minutes is the y - intercept of the graph. Looking at the graph, when time (t = 0), the amount of candy is 20 pounds.
Step2: Determine the trend
The graph is a straight - line with a positive slope. So, as time increases, the amount of candy in the container increases.
Step3: Calculate the rate of increase
To find the rate of increase (slope (m)), we can use two points on the line. Let's assume two points ((0,20)) and ((1,40)). The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Here, (x_1 = 0,y_1 = 20,x_2 = 1,y_2 = 40). Then (m=\frac{40 - 20}{1-0}=20) pounds per minute.
Answer:
(a) 20 (b) As time increases, the amount of candy in the container increases. 20