chapt2sec3 - If 'mgr—ASOWQDOCDHPU l :i i w l 130 CHAPTER...

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Unformatted text preview: If 'mgr—ASOWQDOCDHPU l :i i w l 130 CHAPTER 2 Functions 27. at) = 3; I t=a,t=rt+h 28. to): x/i; t=a,t=a+h 29—30 I A linear function is given. (:1) Find the average rate of change of the function between at = a and x = a + h. (b) Show that the average rate of change is the same as the slope of the line. 29. f(x) = %x + 3 30. g(x) = 44x + 2 Applications 31. Changing Water Levels The graph shows the depth of water W in a reservoir. over a one-year period, as a function of the number of days x since the beginning of the year. (a) Determine the intervals on which the function W is increasing and on which it is decreasing. (b) What was the average rate of change of Wbetween x = 100 andx = 200? W (ft) 100 75 50 25 100 200 300 x(days) 32. Population Growth and Decline The graph shows the population P in a small industrial city from 1950 to 2000. The variable :5 represents the number of years since 1950. (3) Determine the intervals on which the function P is increasing and on which it is decreasing. (b) What was the average rate of change of P between x = 20 and x = 40‘? (c) Interpret the value of the average rate of change that you found in part (b). _ P (thousands) 50 40 30 20 10 10 20 30 40 50x(‘years)l K 33. Population Growth and Decline The table gives the population in a small coastal community for the period 1997-2006. Figures shown are for January 1 in each year, (a) What was the average rate of change of population between 1998 and 2001‘? (in) What was the average rate of change of population between 2002 and 2004‘? (c) For what period of time was the population increasing? -' (d) For what period of time was the population decreasing? '- Popuiation 34. Running Speed A man is running around a circular tracks-E 200 m in circumference. An observer uses a stopwatch to " record the runner’s time at the end of each lap, obtaining the- data in the following table. (a) What was the man’s average speed (rate) between 68 and 152 s? (c) Calculate the man’s speed for each lap. Is he slowing down, speeding up, or neither? 200 32 35. CD Player Sales The table shows the number of CDP ers sold in a small electronics store in the years 1993400 (a) What was the average rate of change of sales haw“ 1993 and 2003? ' 3| 'mga—COWQDOCDHW 7%) «OM __ W7sz F7; ‘ ,— -:~_ 7...— ;2%}Q 19 “a 3 7"("0 3” €@ ) SK * MET: m { HR —; fl" 4? t + f f 1% k »M2ey L7 "1-,? .L flm :2 ‘%*W IWF‘Fbflflj 2—, -»r “I; m (HM-+13) 5 —~— (#4 walk-41“ :1 3 ~JZL—4L £<{+[))”‘)0(‘S' 3r—2L-Z/’.—z5/ ’Zé w4‘8"“ 14%"! A '-’- T “" "W: *2) : /——(L~1~¢> 'mCI—dsnwgaomwhu 326 fig; 1% 5’0 ' 64mm 92* r EBay? "’/%B;/ 4‘) 2C4; ) Z} 2* anwoaww .mgH ...
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chapt2sec3 - If 'mgr—ASOWQDOCDHPU l :i i w l 130 CHAPTER...

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