Concept explainers
Reminder Round all answers to two decimal places unless otherwise indicated.
Unit Conversion with Exponential Growth The exponential function
a. What is the yearly growth factor? Find a formula that gives the population
b. What is the century growth factor? Find a formula that gives the U.S. population
Trending nowThis is a popular solution!
Chapter 4 Solutions
EBK FUNCTIONS AND CHANGE: A MODELING AP
- Half-Life of Radioactive Iodine A student is trying to determine the half-life of radioactive iodine-131. He measures the amount of iodine-131 in a sample solution every 8 hours. His data are shown in the table below. a Make a scatter plot of the data. b Use a calculator to find an exponential model. c Use your model to find the half-life of iodine-131. Time h Amount of 131I(g) 0 8 16 24 32 40 48 4.80 4.66 4.51 4.39 4.29 4.14 4.04arrow_forwardTracer Dye The amount of a tracer dye injected into the blood stream decrease exponentially, with a decay constant of 3 per minute. If 6 cc are present initially, how many cubic centimeters are present after 10 minutes? Here k will be negative.arrow_forwardRound each percentage increase or decrease that you calculate to the nearest tenth of a percent. Percentage Decay Rate from Decay FactorAn exponential function has a decay factor of 0.70. What is the percentage decay rate?arrow_forward
- A Skydiver If a skydiver jumps from an airplane, his velocity v, in feet per second, starts at 0 and increases towards terminal velocity, an average-sized man has a terminal T of about 176 feet per second. The difference D=Tv is an exponential function of time, a. What is the initial value of D? b. Two second into fall, the velocity is 54.75 feet per seconds. Find an exponential formula for D. c. Find a formula for v. d. Express the velocity 4 seconds into the fall using functional notation, and then calculate that value.arrow_forwardChanging UnitsA certain quantity has a yearly decay factor of 0.99.What is its century decay factor?arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning