The graph shows the number of handbags that Mandy made in one day. What are the variables? Describe how the variables are related.
An image is shown of a function on a coordinate plane whose graph resembles a staircase. The graph is titled 'Mandy's Handbags.' The x-axis is labeled 'time,' and the y-axis is labeled 'number of handbags.' The graph starts on the x-axis slightly to the right of the origin and repeats a vertical then horizontal path three times.
The variables in this graph are time and the number of handbags.
The graph shows the number of handbags that Mandy made in one day as it changes over time. The x-axis represents the time, while the y-axis represents the number of handbags.
The graph resembles a staircase because the number of handbags does not continuously increase but rather shows a staircase-like pattern. This suggests that Mandy produces handbags in batches or at specific time intervals.
As time increases, the number of handbags also increases, but in increments rather than a continuous flow. The vertical segments of the graph represent the time intervals when Mandy is not making any handbags, while the horizontal segments represent the time intervals when she is actively making handbags.
Overall, the variables of time and the number of handbags are related in a periodic or cyclic pattern, where the number of handbags increases in quantity during specific time intervals throughout the day.
In the given graph, the variables are:
1. Time: It is the independent variable represented on the x-axis. Time represents the duration or periods during which Mandy made handbags. It is shown along the horizontal axis of the graph.
2. Number of handbags: It is the dependent variable represented on the y-axis. The number of handbags represents the quantity of handbags made by Mandy during each time period. It is shown along the vertical axis of the graph.
The variables, time, and the number of handbags, are related because the graph shows how the number of handbags changes over time. As time progresses, Mandy's production of handbags increases in a step-like manner. Each vertical section represents a time period in which Mandy makes a certain number of handbags. Then there is a horizontal section that represents the time period in which no handbags are made. This pattern is repeated three times in the graph, indicating the cyclical nature of Mandy's production of handbags throughout the day.