CC+MATH+1021+2.1+LA

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1020

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Mathematics

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Apr 3, 2024

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MATH 1020 Calculus Concepts 2.1 Learning Activity 2.1 Section: ___ Group Number: _______ Score: ______/20 Name: _________________________________ Credit is only given for group work to those present on all days LA is worked in class. 1. (5 pts) (L&NTG p. 81 ex4) Kelly Services, Inc., a leading global provider of staffing services, had a revenue of 4850 million dollars in 2004 and a revenue of 5700 million dollars in 2007. a. Write a sentence of interpretation for the amount of change in Kelly Services’ revenue between 2004 and 2007. b. Write a sentence of interpretation for the percentage change in Kelly Services’ revenue between 2004 and 2007. c. Write a sentence of interpretation for the average rate of change in Kelly Services’ revenue between 2004 and 2007. 2. (5 pts) (L&NTG p. 81 ex5) !(#) = 1.608(1.271 - ) thousand megawatts gives the cumulative capacity for wind power worldwide over the past x years since 1990, 0 ≤ # ≤ 17. a. Since W is an exponential function, it has a constant percentage change. Find the constant percentage change and use it to complete the following sentence: Between 1990 and 2007, the cumulative capacity for wind power worldwide increased by _____________ % each year. b. Calculate the percentage change in the cumulative capacity between 1990 and 2007 and complete the following sentence: Between 1990 and 2007, the cumulative capacity for wind power worldwide increased by ____________ %. c. Explain the difference in answer in parts a and b . 008 4 . 2 Taylor Lusk , Nataran Peterson , Cayce Crowder & - f)5700) - f(4US0) = 850 million dollars . Between 2004 and 2007 the Kelly Services Ind had a revenue increase of 875 million dollars % Change = 5700-4850 . 100 % = 17 . 526 %. Between 2004 and 2007 the - 4880 Kelley services Inc had a revenue increase of 17 526 %. AROC = 5700-4850 - = 283 . 333 million per year 2007-2004 Between 2004 and 2007 the Kelly services Inc had an average revenue increase of 683 . 333 million dollars per gear 27 . / - (b-16 % 100 (1 . 27) -1) - 100 5694 . 872 , 10) . 100 Y(0) In part a the percent change was onley for the Percent change in a year while pent b is calculating For the amulative capacity Helen 1990 to 200
MATH 1020 Calculus Concepts 2.1 Learning Activity 2.1 3. (5 pts) In desert areas of the western United States, lizards and other reptiles are harvested for sale as pets. Because reptiles hibernate during the winter months, no reptiles are gathered during the months of January, February, November or December. The following graph represents the number of lizards harvested during the remaining months (3 = Mar, 4 = Apr, etc.) Source: Problem 18 from section 1.12 in text. a. Use the graph to estimate the output values for the points that correlate to April and July. Write the two ordered pairs. b. Calculate and interpret in a sentence the change between April and July. c. Calculate and interpret in a sentence the percentage change between April and July. d. Draw on the graph the secant line that cuts through the graph at input values 4 and 7. e. Calculate and interpret the slope of your secant line.
MATH 1020 Calculus Concepts 2.1 Learning Activity 2.1 4. (5 pts) When measuring how much change occurs in values between two points in time, the percentage change and average rate of change can help to give context. Keep this in mind as you answer the following questions. a. Suppose that Company A and Company B both had their total sales increase by $5000 from the end of 2015 to the end of 2016. However, suppose that Company A had sales totaling $1 thousand at the end of 2015 and Company B had sales totaling $1 million at the end of 2015. What was each company’s percentage change in sales from the end of 2015 to the end of 2016? Include units. b. For which company do you think the increase in sales from 2015 to 2016 had the biggest impact? Explain. c. Now suppose that Company A also had their sales increase by $5000 between the end of 2016 and the end of 2021. What was the company’s average rate of change from the end of 2015 to then end of 2016? What was the company’s average rate of change from the end of 2016 to the end of 2021? Include units with both. d. During which of these time periods did Company A’s sales increase faster? Explain.
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