a. Find a power function that models the data below.b. Find a linear function that models the data.c. Visually determine which model is a better fit.134y16263852Round all answers to 3 decimal places.a. The power function isb. The linear function isc. Which model is a better fit? Write linear or power

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Answered: a. Find a power function that models…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The table below gives data from a linear function. Complete parts (a) and (b) below. (a) Fill in the first row of the table, assuming it represents a linear function. Fill in the last row, assuming the pattern for each column continues. Price per bottle, x Number of bottles (dollars) sold, y Number 0.8 40 1 38 1.2 36 Number Number (b) Write a formula which gives y as a function of x. y =
Medicaid The numbers of thousands of peoplecovered by Medicaid for the years 2000–2014 aregiven in the table that follows. a. Create a scatter plot of the data to determine whattype of function would best model the data.b. Find the equation of the best-fit cubic model.Align the data so that x = 0 is 2000, and roundyour answer to three decimal places.c. Graph the model with the data to see how well themodel fits the data.d. Find a quartic function that models the data,rounded to three decimal places, and graph thisfunction with the data.e. Which function is the better fit for extrapolationafter 2014? Why?
Write a function describing the relationship of the given variables.h varies directly with d and when d=7, h=28h=
How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). x 3 6 12 20 26 y 60 95 140 160 189 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? low moderate strong Would you say the correlation is positive or negative? positive negative (c) Use a calculator to verify that x = 67, x2 = 1265, y = 644, y2 = 93,546, and xy = 10,544. Compute r. (Round your answer to three decimal places.) As x increases from 3 to 26 months, does the value of r imply that y should tend to increase or decrease? Explain your answer. Given our value of r, y should…
The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. Year Retail Sales 85.851 3 108.426 141.781 169.256 12 202.297 15 222.266 Let S(t) be the retails sales in billions of dollars in t years since 1995. A linear model for the data is S(t) = 9.44t + 84.182. 220 210- 200 190 180 170- 160 150 140 130 120 110 100 90 12 804
Using the data and your graphing calculator answer the questions that follow. This table represents the number of hours spent studying for a test and the scores earned. Test Score (%) Hours Studying 100 90 80 70 60 A) Which of these statements makes more sense? O The dependent variable is Hours Studying and the Independent variable is Test Score O The dependent variable is Test Score and the Independent variable is Hours Studying 50 1 3.5 B) Make a scatterplot of the data. 40 30 20 4 4.5 5.5 6 7 7.5 10 1 2 67 78 82 85 87 85 89 97 3 4 A 5 6 7 8 9
Story: For the past five years, Isaac has grown two inches every year. This year he grew four inches. Story: Directions: Create a graph or write a story that represents the story or function shown below. Include units for your axes (such as time, inches, meters, feet, etc.). 15 14 SH321298 11 10 7 6 S 4 3 2 1 0 15 14 13 12 11 10 9 8 7 6 S 4 3 2 0 2 3 4 5 4 5 6 54

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