Directions: Select all the correct answers.The ages of people in attendance of a local group function are shown in the histogram below.Age of Attendence1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81-90 91-100AgeWhich of the following statements correctly describes the data?Five less attendees were older than 40 than those 40 or younger.Sixteen of the attendees were over the age of 50.More than half of the attendees were between the ages of 21 and 50.There were a total of 50 people in attendance.Number of Attendees

For the given histogram select the correct choices

Answered: Directions: Select all the correct…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 34E

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6. Tuition at American Private Universities The following table shows the average yearly tuition and required fees, in dollars, charged by four-year American private nonprofit universities in the school year ending in the given year. Date Average tuition 2012 27,870 2013 29,004 2014 30,138 2015 31,272 2016 32,406 a. Show that these data can be modeled by a linear function, and find its formula. b. Plot the data points and add the graph of the linear formula you found in part a. c. What prediction does this formula give for average tuition and fees at four-year American private nonprofit universities for the academic year ending in 2021?
E-Filing The table shows the numbers of tax returns (in millions) made through e-file from 2007 through2014. Let f (t) represent the number of tax returns made through e-file in the year t. (a) Find f2014f200720142007 and interpret the result in the context of the problem. (b) Make a scatter plot of the data. (c) Find a linear model for the data algebraically. Let N represent the number of tax returns made through e-file and lett=7 correspond to 2007. (d) Use the model found in part (c) to complete the table. (e) Compare your results from part (d) with the actual data. (f) Use a graphing utility to find a linear model for the data. Let x=7 correspond to 2007. How does the model you found in part (c) compare with the model given by the graphing utility?
Marginal Tax Rate The following table shows tax due for the given taxable income level for a single taxpayer. Taxable income Tax due 97, 000 21, 913 97, 050 21, 927 97, 100 21, 941 97, 150 21, 955 97, 200 21, 969 a. Show that the data in the table are linear. b. How much additional tax is due on each dollar over 97.000? c. What would you expect to be your tax due if you had a taxable income of 97, 000? of 98, 000? d. Find a linear formula that gives your tax due if your income is A dollars over 97, 000.
Dropping Rocks on Mars The behavior of objects falling near Earths surface depends on the mass of Earth. On Mars, a much smaller planet than Earth, things are different. If Galileo had performed his experiment on Mars, he would have obtained the following table of data. t = seconds V = feet per second 0 0 1 12.16 2 24.32 3 36.48 4 48.64 5 60.8 a. Show that these data can be modeled by a linear function, and find a formula for the function. b. Calculate V10 and explain in practical terms what your answer means. c. Galileo found that the acceleration due to gravity of an object falling near Earths surface was 32 feet per second per second. Physicists normally denote this number by the letter g. If Galileo had lived on Mars, what value would he have found for g?
E-Filing The table shows the numbers of tax returns (in millions) made through e-file from 2007 through 2014. Let ft represent the number of tax returns made through e-file in the year t. (a) Find f2014f200720142007 and interpret the result in the context of the problem. (b) Make a scatter plot of the data. (c) Find a linear model for the data algebraically. Let N represent the number of tax returns made through e-file and let t=7 correspond to 2007. (d) Use the model found in part (c) to complete the table. (e) Compare your results from part (d) with the actual data. (f) Use a graphing utility to find a linear model for the data. Let x=7 correspond to 2007. How does the model you found in part (c) compare with the model given by the graphing utility?

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