Bathtub Graph
The graph shown represents the water level in kayla s bathtub as a function of time.
Bathtub graph. Give a verbal description of what you think happened. A good way to introduce the continuous nature of line graphs is to model one based on water filling a bath. He explained a number of different economic phenomena simply as the incoming flow of water into a bathtub and the outgoing flow of water via leakage or the drain from the bathtub. The bathtub curve consists of three periods.
Jasmine fills her bathtub takes a bath and then drains the tub. Typically used as a visual model to illustrate the three key periods of product failure and not calibrated to depict a graph of the expected behavior for a particular product family. Posted on august 31 2011 by seymour morris. Figure 1 shows a typical time versus failure rate curve for equipment.
The graph shows the height of the water in a bathtub as a function of time. Kayla soaked in the bathtub. If enough units from a given population are observed operating and failing over time it is relatively easy to compute week by week or month by month estimates of the failure rate h t. Kayla emptied the tub.
A plot of the failure rate over time for most products yields a curve that looks like a drawing of a bathtub. This is the well known bathtub curve which over the years has become widely accepted by the reliability community. The bathtub curve is widely used in reliability engineering it describes a particular form of the hazard function which comprises three parts. Which graph best depicts this situation by relating time to water level.
The bathtub analogy in discussing economics was first put forth by british professor kenneth boulding in his book the economics of peace. A graph has time on the x axis and water level on the y axis. This bathtub graph assessment is suitable for 9th 12th grade. The second part is a constant failure rate known as random failures.
The activity expects learners to graph the volume of water in a bathtub during a given scenario. Kayla got into the bathtub. The water level is constant and then drops to 0. Kayla ran water to fill the bathtub.
A graph has time on the x axis and water level on the y axis. Represent the relationship between independent and dependent variables through a modeling situation. The first part is a decreasing failure rate known as early failures. It is appropriate for y5 or y6 and links very nicely to a unit with time as a focus.
Bath time graph stories try this maths activity it is an old favourite of mine.