# Topic 10 - the function has the form • k is the constant...

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*EXPLORING RATE CHANGE IN OTHER SITUATIONS* In this topic, you have continued to explore rate of change using both tables and graphs. Looking closely at tables of data, you determined the rate of change for linear functions by finding ratios of the differences in the values of the dependent variable and the differences in the values of the independent variable. These differences are called first differences. When the ratio of the first differences is the same, the data has a constant rate of change, and the function is linear. ** Joshua's Blue Jean Inspections Pairs of jeans checked Pairs of jeans with defects 84 3 168 6 224 8 336 12 420 15 You learned about a special kind of linear function called direct variation.

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In direct variation: there is a proportional relationship between the two quantities
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Unformatted text preview: the function has the form • k is the constant of proportionality • the graph of the function is a straight line that runs through the origin. ***You also looked for patterns in data for two special types of functions with a non-constant rate of change. For these relationships, you had to analyze the second differences in the values of the dependent variable to learn more about the function. When looking at the data in a table, you can find the differences to determine the rate of change, or look for patterns that suggest the type of function that might model the situation. ****When graphing the data for a situation, you can also see evidence from the shape of the graph that tells you whether or not the rate of change for the function is constant. 1 2 3 4...
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## This note was uploaded on 10/03/2011 for the course ALCOHOLEDU 1 taught by Professor Berkeley during the Spring '08 term at Berkeley.

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Topic 10 - the function has the form • k is the constant...

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