Reminder Round all answers to two decimal places unless otherwise indicated.
Choosing a Bat A chart from Dick’s sporting Goods gives the recommended bat length
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
a. Explain in practical terms the meaning of
b. Use functional notation to express the recommended bat length for a man weighing between
Trending nowThis is a popular solution!
Chapter 1 Solutions
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Additional Math Textbook Solutions
Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)
Elementary Algebra: Concepts and Applications (10th Edition)
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
Intermediate Algebra (7th Edition)
Elementary Algebra
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
- Mortgage Rates The following table is taken from the website of Freddie Mac. It shows rates for 30-year fixed-rate mortgages since 1970. y=Year r=Mortgagerate 1975 9.05 1980 13.74 1985 12.43 1990 10.13 1995 7.93 2000 8.05 2005 5.87 2010 4.69 2015 3.84 a. Explain in practical terms the meaning of r(2003). b. Use the table to estimate the value of r(2003).arrow_forwardArctic Foxes The age-weight relationship of female Arctic foxes caught in Svalbard, Norway, can be estimated by the function Mt=3102e-e-0.022t-56, where t is the age of the fox in days and Mt is the weight of the fox in grams. Source: Journal of Mammalogy. a. Estimate the weight of a female fox that is 200 days old. b. Use Mt to estimate the largest size that a female fox can attain. Hint: Find limtMt. c. Estimate the age of a female fox when it has reached 80% of its maximum weight. d. Estimate the rate of change in weight of an Arctic fox that is 200 days old. Hint: Recall that Dteft=f'teft. e. Using a graphing calculator to graph Mt and then describe the growth pattern. f. Use the table function on a graphing calculator or a spreadsheet to develop a chart that shows the estimated weight and growth rate of female foxes for days 50,100,150,200,250, and 300.arrow_forwardLIFE SCIENCE APPLICATIONS Body Surface Area The surface area of a human in square meters has been approximated by A(h,m)=0.024265h0.3964m0.5378, where h is the height in cm and m is the mass in kg. Find A for the following data. Source: The Journal of Pediatrics. a. Height, 178cm; mass, 72kg b. Height, 140cm; mass 65kg c. Height, 160cm; mass, 70kg d. Using your mass and height, find your own surface area. e. f.arrow_forward
- Running Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner’s time at the each of each lap, obtaining the data in the following table. (a) What was the man’s average speed (rate) between 68 s and 152 s? (b) What was the man’s average speed between 263 s and 412 s? (c) Calculate the man’s speed for cadi lap, Is he slowing down, speeding up, or neither?arrow_forwardRunning Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runners time at the end of each lap, obtaining the data in the following table. aWhat was the mans average speed rate between 68 s and 152 s? bWhat was the mans average speed between 263 s and 412 s? cCalculate the mans speed for each lap. Is he slowing down, speeding up or neither? Time s Distance m 32 200 68 400 108 600 152 800 203 1000 263 1200 335 1400 412 1600arrow_forwardThe Kelvin Temperature Scale Physicists and chemists often use the Kelvin temperature scale. In order to determine the relationship between the Fahrenheit and Kelvin temperature scales, a lab assistant put Fahrenheit and Kelvin thermometers side by side and took readings at various temperatures. The following data were recorded. K = kelvins F = degrees Fahrenheit 200 -99.67 220 -63.67 240 -27.67 260 8.33 280 44.33 300 80.33 a. Show that the temperature F in degrees Fahrenheit is a linear function of the temperature K in kelvins. b. What is the slope of this linear function? Note: Be sure to take into account that the table lists kelvins in jumps of 20 rather than in jumps of 1. c. Find a formula for the linear function. d. Normal body temperature is 98.6 degrees Fahrenheit. What is that temperature in kelvins? e. If temperature increases by 1 kelvin, by how many degrees Fahrenheit does it increase? If temperature increases by 1 degree Fahrenheit, by how many kelvins does it increase? f. The temperature of 0 kelvins is known as absolute zero. It is not quite accurate to say that all molecular motion ceases at absolute zero, but at that temperature the system has its minimum possible total energy. It is thought that absolute zero cannot be attained experimentally, although temperatures lower than 0.0000001 kelvin have been attained. Find the temperature of absolute zero in degrees Fahrenheit.arrow_forward
- Stopping Distance The table below shows the average stopping distance D, in feet, for a car on dry pavement versus the speed S of the car, in miles per hour. S= speed mph 15 25 35 40 60 75 D = stopping distance feet 44 85 136 164 304 433 a Find a model of stopping distance as power function of speed. b If speed is doubled, how is stopping distance affected? c Plot the data and the power model on the same screen.arrow_forwardPower Consumption: The figure shows the power consumption in San Francisco for a day in September (P is measured in megawatts; t is hours stating at midnight). (a) What was the power consumption at 6:00 A.M? At 6:00 P.m.? (b) When was the power consumption the lowest? (c) Find the net change in the power consumption from 9:00 A.M. to 7:00 P.M/arrow_forwardLIFE SCIENCE APPLICATIONS Length of a Pendulum Grandfather clocks use pendulums to keep accurate time. The relationship between the length of a pendulum L and the time T for one complete oscillation can be determined from the data in the table. Source: Gary Rockswold. L(ft) T(sec) 1.0 1.11 1.5 1.36 2.0 1.57 2.5 1.76 3.0 1.92 3.5 2.08 4.0 2.22 a. Plot the data from the table with L as the horizontal axis and T as the vertical axis. b. Find the least squares line equation and graph it simultaneously, if possible, with the data points. Does it seem to fit the data? c. Find the correlation coefficient and interpret it. Does it confirm your answer to part b?arrow_forward
- For the experimental can described in Example 8, write the surfacearea as a function of (a) the radius r and (b) the height h.arrow_forwardtemperature-humidity index in each case. Round to the nearest tenth of a degree. 45. T = 85°F and H = 60% 46. T = 90°F and H = 90% 47. T = 90°F and H = 100% 48. T = 78°F and H = 100%arrow_forwardComplete the given table with the values of the 3-unit moving average of the given function. (Chart in given picture)arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,