College Algebra 1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: Jay Abramson
1 Prerequisites 2 Equations And Inequalities 3 Functions 4 Linear Functions 5 Polynomial And Rational Functions 6 Exponential And Logarithmic Functions 7 Systems Of Equations And Inequalities 8 Analytic Geometry 9 Sequences, Probability And Counting Theory Chapter6: Exponential And Logarithmic Functions
6.1 Exponential Functions 6.2 Graphs Of Exponential Functions 6.3 Logarithmic Functions 6.4 Graphs Of Logarithmic Functions 6.5 Logarithmic Properties 6.6 Exponential And Logarithmic Equations 6.7 Exponential And Logarithmic Models 6.8 Fitting Exponential Models To Data Chapter Questions Section6.8: Fitting Exponential Models To Data
Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use... Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time... Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to... Problem 1SE: What situations are best modeled by a logistic equation? Give an example, and state a case for why... Problem 2SE: What is a carrying capacity? What kind of model has a carrying capacity built into its formula? Why... Problem 3SE: What is regression analysis? Describe the process of performing regression analysis on a graphing... Problem 4SE: What might a scatterplot of data points look like if it were best described by a logarithmic model? Problem 5SE: What does the y -intercept on the graph of a logistic equation correspond to for a population... Problem 6SE: For the following exercises, match the given function of best fit with the appropriate scatterplot... Problem 7SE: For the following exercises, match the given function of best fit with the appropriate scatterplot... Problem 8SE: For the following exercises, match the given function of best fit with the appropriate scatterplot... Problem 9SE: For the following exercises, match the given function of best fit with the appropriate scatterplot... Problem 10SE: For the following exercises, match the given function of best fit with the appropriate scatterplot... Problem 11SE: To the nearest whole number, what is the initial value of a population modeled by the logistic... Problem 12SE: Rewrite the exponential model A(t)=1550(1.085)x as an equivalent model with base e. Express the... Problem 13SE: A logarithmic model is given by the equation h(p)=67.6825.792ln(p). To the nearest hundredth, for... Problem 14SE: A logistic model is given by the equation S P(t)=901+5e0.42t. To the nearest hundredth, for what... Problem 15SE: What is the y -intercept on the graph of the logistic model given in the previous exercise? Problem 16SE: For the following exercises, use this scenario: The population P of a koi pond over x months is... Problem 17SE: For the following exercises, use this scenario: The population P of a koi pond over x months is... Problem 18SE: For the following exercises, use this scenario: The population P of a koi pond over x months is... Problem 19SE: For the following exercises, use this scenario: The population P of a koi pond over x months is... Problem 20SE: For the following exercises, use this scenario: The population P of a koi pond over x months is... Problem 21SE: For the following exercises, use this scenario: The population P of an endangered species habitat... Problem 22SE: For the following exercises, use this scenario: The population P of an endangered species habitat... Problem 23SE: For the following exercises, use this scenario: The population P of an endangered species habitat... Problem 24SE: For the following exercises, use this scenario: The population P of an endangered species habitat... Problem 25SE: For the following exercises, use this scenario: The population P of an endangered species habitat... Problem 26SE: For the following exercises, refer to Table 7. Use a graphing calculator to create a scatter diagram... Problem 27SE: For the following exercises, refer to Table 7. Use the regression feature to find an exponential... Problem 28SE: For the following exercises, refer to Table 7. Write the exponential function as an exponential... Problem 29SE: For the following exercises, refer to Table 7. Graph the exponential equation on the scatter... Problem 30SE: For the following exercises, refer to Table 7. Use the intersect feature to find the value of x for... Problem 31SE: For the following exercises, refer to Table 8. Use a graphing calculator to create a scatter diagram... Problem 32SE: For the following exercises, refer to Table 8. Use the regression feature to find an exponential... Problem 33SE: For the following exercises, refer to Table 8. Write the exponential function as an exponential... Problem 34SE: For the following exercises, refer to Table 8. Graph the exponential equation on the scatter... Problem 35SE: For the following exercises, refer to Table 8. Use the intersect feature to find the value of x for... Problem 36SE: For the following exercises, refer to Table 9. Use a graphing calculator to create a scatter diagram... Problem 37SE: For the following exercises, refer to Table 9. Use the LOGarithm option of the REGression feature to... Problem 38SE: For the following exercises, refer to Table 9. Use the logarithmic function to find the value of the... Problem 39SE: For the following exercises, refer to Table 9. Graph the logarithmic equation on the scatter... Problem 40SE: For the following exercises, refer to Table 9. Use the intersect feature to find the value of x for... Problem 41SE: For the following exercises, refer to Table 10. Use a graphing calculator to create a scatter... Problem 42SE: For the following exercises, refer to Table 10. Use the LOGarithm option of the REGression feature... Problem 43SE: For the following exercises, refer to Table 10. Use the logarithmic function to find the value of... Problem 44SE: For the following exercises, refer to Table 10. Graph the logarithmic equation on the scatter... Problem 45SE: For the following exercises, refer to Table 10. Use the intersect feature to find the value of x for... Problem 46SE: For the following exercises, refer to Table 11. Use a graphing calculator to create a scatter... Problem 47SE: For the following exercises, refer to Table 11. Use the LOGISTIC regression option to find a... Problem 48SE: For the following exercises, refer to Table 11. Graph the logistic equation on the scatter diagram. Problem 49SE: For the following exercises, refer to Table 11. To the nearest whole number, what is the predicted... Problem 50SE: For the following exercises, refer to Table 11. Use the intersect feature to find the value of x for... Problem 51SE: For the following exercises, refer to Table 12. Use a graphing calculator to create a scatter... Problem 52SE: For the following exercises, refer to Table 12. Use the LOGISTIC regression option to find a... Problem 53SE: For the following exercises, refer to Table 12. Graph the logistic equation on the scatter diagram. Problem 54SE: For the following exercises, refer to Table 12. To the nearest whole number, what is the predicted... Problem 55SE: For the following exercises, refer to Table 12. Use the intersect feature to find the value of x for... Problem 56SE: Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such... Problem 57SE: Use a graphing utility to find an exponential regression formula f(x) and a logarithmic regression... Problem 58SE: Verify the conjecture made in the previous exercise. Round all numbers to six decimal places when... Problem 59SE: Find the inverse function f1(x) for the logistic function f(x)=c1+aebx. Show all steps. Problem 60SE: Use the result from the previous exercise to graph the logistic model P(t)=201+4e0.5t along with its... Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Concept explainers
Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between XX and YY. Use your calculator!
x
y
2
16.7
3
13.74
4
14.78
5
14.32
6
14.66
7
13.4
Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.
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