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4-3 rate of change and slope
Chapter 4 4-3 rate of change and slope
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SAT Problem of the day
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solution Right Answer D
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Objectives Find rates of change and slopes.
Relate a constant rate of change to the slope of a line.
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Rate of change What is the rate of change?
Answer: A rate of change is a ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable.
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Example#1 The table shows the average temperature (°F) for five months in a certain city. Find the rate of change for each time period. During which time period did the temperature increase at the fastest rate?
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Example#2 The table shows the balance of a bank account on different days of the month. Find the rate of change during each time interval. During which time interval did the balance decrease at the greatest rate?
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Student guided practice
Do problem 2 in your book page 248
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Slope of the line If all of the connected segments have the same rate of change, then they all have the same steepness and together form a straight line. The constant rate of change of a line is called the slope of the line.
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Slope of the line
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Example#3 Find the slope of the line. •
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Example#4 Find the slope of the line that contains (0, –3) and (5, –5).
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Student guided practice
Do problems 1-5 in the worksheet
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Slope of the line As shown in the previous examples, slope can be positive, negative, zero or undefined. You can tell which of these is the case by looking at a graph of a line–you do not need to calculate the slope.
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Example#5 Tell whether the slope of each line is positive, negative, zero or undefined.
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Example#5 Tell whether the slope of each line is positive, negative, zero or undefined.
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Student guided practice
Do problems 6 to 10 in your book page 248
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Comparing the slopes
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Comparing rate of change
Let’s do the worksheet
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Homework!!! Do problems in your book page 249
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closure Today we learned about rate of change and slope
Next class we are going learned how to get slope using the slope formula
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