Intro Applications of Linear Functions
VIDEO: Applications of Linear Functions_1
In this video I create a problem with ridership on a train that increases by a constant amount each year. This can be modeled as a linear function and I proceed to do so. I write the function, graph it, and analyze it. I use function notation to write the function.
PDF File: Worksheet document “Applications of Linear Functions_1”
VIDEO: Applications of Linear Functions_2
This is the second video in a series on applications of linear functions. Linear functions have a constant rate of change which is the slope of the graph of the function. They graph as straight lines. In this problem a water tank is being drained at a constant rate. You are to write a function describing the amount of water in the tank at any time, t and then answer some additional questions about the function.
PDF File: Printable worksheet “Applications of Linear Functions_2”
VIDEO: Applications of Linear Functions_3
This is a third video in a series that shows a simple application of a linear function. In this case we have a bicycle manufacturer. It has a fixed cost and a variable cost. The variable cost is the same for each bike and varies with the number of bikes produced. The cost per bike is the slope of the graph. The fixed cost does not change no matter how many bikes are produced. From the fixed and variable costs we create a cost function. We also create a second function, a revenue function, which is the selling price of a bike times the number of bikes sold. The slope of the graph of this function is the selling price for each bike. We then create a third function, a profit function which is the difference between the revenue and cost functions. We are particularly interested in the the “breakeven point” which represents how many bikes must be produced and sold to make a positive profit.
PDF File: Printable worksheet “Applications of Linear Functions_3”