Exercises 47–52 present data in the form of tables. For each data set shown by the table,
a. Create a
b. Use the scatter plot to determine whether an exponential function, a logarithmic function, or a linear function is the best choice for modeling the data. (If applicable, in Exercise 72. you will use your graphing utility to obtain these functions.)
Temperature Increase in an Enclosed Vehicle
Minutes | Temperature Increase (°F) |
10 | 19° |
20 | 29° |
30 | 34° |
40 | 38° |
50 | 41° |
60 | 43° |
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
College Algebra, Books a la Carte Edition Plus NEW MyMathLab -- Access Card Package (6th Edition)
Additional Math Textbook Solutions
Linear Algebra and Its Applications (5th Edition)
Introductory and Intermediate Algebra for College Students (5th Edition)
College Algebra with Modeling & Visualization (6th Edition)
Pre-Algebra Student Edition
College Algebra with Modeling & Visualization (5th Edition)
Algebra 1
- Express the ratios in Exercises 69 and 70 as ratios of natural logarithmsand simplify.arrow_forwardUse the properties of logarithms to write the expressions in Exercises 43 and 44 as a single term.arrow_forwardAn October 2009 article in The Industry Standard states that "independent Twitter data shows exponential tweet growth." GigaTweet, an independent tweet-counting service, reports that the number of tweets was 5.0 billion in October 2009. In April 2009, the number of tweets was 1.6 billion. (a) Develop the exponential growth model that fits with these data, where t is the number of months after April 2009 and p is the number of tweets in billions. (Round the coefficient of t to seven decimal places.) p(t) = (b) Use the model to predict when there will be 35.0 billion tweets. (Round your answer to the nearest whole number.) ____months after April 2009arrow_forward
- Write an exponential function in the form y=ab^xy=abx that goes through points (0, 2) and (6, 8192).arrow_forwardGive two pieces of information that may be used to formulate an exponential growth or decay function.arrow_forwardTo calculate an exponential smoothing forecast of demand, what values are required? a. alpha, number of periods, last actual demand b. alpha, last forecast, last actual demand c. last forecast, number of periods, averaging period d. alpha, last forecast, number of periodsarrow_forward
- The number of days that elapse between the beginning of a calendar year and the moment a high-risk driver is involved in an accident is exponentially distributed. An insurance company expects that 30% of high-risk drivers will be involved in an accident during the first 50 days of a calendar year. What portion of high-risk drivers are expected to be involved in an accident during the first 80 days of a calendar year? Choose one of the following. Source: Society of Actuaries.(a) 0.15 (b) 0.34 (c) 0.43 (d) 0.57 (e) 0.66arrow_forwardWrite an exponential model given the two points (7,150) and (8,250)arrow_forwardThe following table shows the number of internet hosts in millions for years since 1995. Year Internet hosts 2 21.819 5 72.398 8 171.638 11 433.199 14 732.74 Let H(t) be the number of internet hosts in millions for t years since 1995.An exponential model for the data is H(t) =. Estimate the number of hosts in 2014? millions Use the model to predict the year in which the number of hosts will be 977 million.arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill