Concept explainers
IQ Scores The IQ scores for a sample of students at a small college roughly follow the
where
(a) Use a graphing utility to graph the function.
(b) From the graph in part (a), estimate the average IQ score of a student.
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Chapter 5 Solutions
EBK COLLEGE ALGEBRA
- A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?arrow_forwardDVD Player sales The table shows the number of DVD play-ers sold in a small electronics store in the years 2003-2013. What was the average rate of change of sales between 2003 and 2013? Whatwas the average rate of change of sales between 2003 and 2004? What was the average rate of change of sales between 2004 and 2005? Between which two successive years did DVD player sales increase most quickly?arrow_forwardLet f(x)=1x . Find a number c such that the average rate of change of the functionfon the interval (1,c) is 14arrow_forward
- In Example 7, find the average speed of the car (a) from t1=0tot2=1 second and (b) from t1=1 second to t2=4 seconds.arrow_forwardThe US. import of wine (in hectoliters) for several years is given in Table 5. Determine whether the trend appearslinear. Ifso, and assuming the trend continues, in what year will imports exceed 12,000 hectoliters?arrow_forwardDVD Player Sales The table shows the number of DVD players sold in a small electronics store in the years 2003-2013. Year DVD players sold 2003 495 2004 513 2005 410 2006 402 2007 520 2008 580 2009 631 2010 719 2011 624 2012 582 2013 635 aWhat was the average rate of change of sales between 2003 and 2013? bWhat was the average rate of change of sales between 2003 and 2004? cWhat was the average rate of change of sales between 2004 and 2005? dBetween which two successive years did DVD player sales increase most quickly? Decrease most quickly?arrow_forward
- data needed to complete image A professor timed all students in his Statistics class for how long it took them to complete the final exam. The results are given below, in minutes. 92 65 70 84 170 110 115 100 135 105 120 165 145 150 75 100 155 95 88 125 96 145 115 170 160 150 90arrow_forwardMean of SAT-math score of population: 517 SD of the SAT-math score: 100 I want to know the proportion of scores that fall between 500 and 600. (Round off to three decimal places if necessary).arrow_forwardThe graph shows the speed, S (kilometres per hour) of a car as it travels along a straight road at time t hours. speed (km/h) 90 60 30 0.10e 0.20 0.30 0.40e 0.50 0.60e time (h)e What is the maximum speed of the car?e a b During which intervals was the rate of change of the speed of the car zero?e Use the graph to estimate the average rate at which the car's speed is increasing between times 1 = 0.05 hour and t= 0.20 hour.“ d. Find an estimate for the rate at which the car's speed is increasing when 1 = 0.1 hour.“ e When was the speed increasing most rapidly? How can you tell?e Sketch the graph of the rate of change of speed against time for t = 0 to t = 0.50 hour. (General shape and key t values required only on graph; there is no need for a vertical scale.) earrow_forward
- Area Painted (ft) The graph shows the linear relationship between the maximum area in square feet that can be painted and the number of gallons of paint used. 9 Paint Coverage 1,800 1,600 1,400 8 1,200 E 1,000 800 600 400 200 1 3 Number of Gallons of Paint Which of these best represents the rate of change of the maximum area painted with respect to the number of gallons of paint used? 200 ft²/gal 1 ft2/gal 200 B 400 ft?/gal 1 ft?/gal 400 O A O Carrow_forwardThe saturation concentration of oxygen dissolved in water is a function of temperature and chlorine concentration as given in the table. For T=18°C and chlorine concentration =10,000mgL/, calculate the dissolved oxygen level by sequential interpolation. Temperature°C Chlorine= 0 mg/L Chlorine= 10,000 mg/L Chlorine 20,000 mg/L 12.8 11.6 10.5 10 11.3 10.3 9.2 15 10.0 9.1 8.2 20 9.0 8.2 7.4 25 8.2 7.4 6.7 30 7.4 6.8 6.1arrow_forward
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