10. Definition- Slope is defined as the ratio of a change in y to a corresponding change in x. or
11. Interpreting a real life situation The line graphs the percent of US adults who smoke cigarettes x years after 1997. a. Find the slope of the line segment from 1997 to 2007 Percent Adults X years after 1997 ( 0,24.7 ) ( 10,19.5 ) b. What does this slope represent? The percent of US adult cigarette smokers is decreasing by .52 percent each year. The change is consistent each year.
20. Example Find the average rate of change of f(x)=3x-1 from x 1 =0 to x 2 =1 x 1 =1 to x 2 =2 x 1 =2 to x 2 =3
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22. Average rate of change and the difference quotient Do you recognize the difference quotient that we studied in section 2.2? You will study more about the difference quotient in future math classes. Suppose x 1 =x and x 2 =x+h, then
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24. Average Rate of Change Application 0.00 0.00 0.50 6.14 1.00 8.10 1.50 8.54 2.00 8.43 2.50 8.13 3.00 7.77 3.50 7.41 4.00 7.05 4.50 6.71 5.00 6.38 Sometimes it takes a while for a drug to diffuse sufficiently to affect the desired organ. The curve below is a close approximation of the concentration in that organ compared to the time after the drug was taken. a. What is the average rate of change from the time the drug was taken until the first hour? b. What was the average rate of change from the second hour until the fourth.? c. What is the interpretation of each answer? hours cncntr hours concentration Example
