Concept explainers
The sales of a book tend to increase over the short-term as word-of-mouth makes the book “catch on”. The number of books sold
Weeks t | Number Sold
|
---|---|
1 | 20 |
2 | 27 |
3 | 31 |
4 | 35 |
5 | 38 |
6 | 39 |
a. Find a model of the form
b. Use the model to predict the sales in week 7. Round to the nearest whole unit.
c. Is it reasonable to assume that this logarithmic trend will continue? Why or why not?
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
COLLEGE ALGEBRA >LL< + ALEKS
Additional Math Textbook Solutions
Elementary Algebra: Concepts and Applications (10th Edition)
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
College Algebra (7th Edition)
College Algebra
Pre-Algebra Student Edition
- Car Speed The table shows the time t (in seconds) required for a car to attain a speed of s miles per hour from a standing start. Two models for these data are given below. t1=40.757+0.556s15.817lnst2=1.2259+0.0023s2 (a) Use the regression feature of a graphing utility to find a linear model t3 and an exponential model t4 for the data. (b) Use the graphing utility to graph the data and each model in the same viewing window. (c) Create a table comparing the data with estimates obtained from each model. (d) Use the results of part (c) to find the sum of the absolute values of the differences between the data and the estimated values found using each model. Based on the four sums, which model do you think best fits the data? Explain.arrow_forwardThe table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025. (a) Find the exponential growth or decay model y=aebt or y=aebt for the population of each country by letting t=15 correspond to 2015. Use the model to predict the population of each country in 2035. (b) You can see that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y=aebt gives the growth rate? Discuss the relationship between the different growth rates and the magnitude of the constant.arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill