Concept explainers
Hurricanes The following data represent the atmospheric pressure (in millibars) and the wind speed (in knots) measured during various tropical systems in the Atlantic Ocean.
(a) Use a graphing utility to draw a
(b) Use a graphing utility to find the line of best lit that models the relation between atmospheric pressure and wind speed. Express the model using function notation.
(c) Interpret the slope.
(d) Predict the wind speed of a tropical storm if the atmospheric pressure measures 990 millibars.
(e) What is the atmospheric pressure of a hurricane if the wind speed is 85 knots?
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus (6th Edition)
Calculus and Its Applications (11th Edition)
Calculus: Single And Multivariable
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Precalculus: Mathematics for Calculus (Standalone Book)
- Use the Vertical Line Test to determine whether the graph represents y as a function of x.arrow_forwardPatty’s Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The following table shows the inches of rainfall and the number of umbrellas the store sold each month. The relationship between the inches of rainfall and umbrella sales can be modeled using a linear function. Month Jan. Feb. Mar. Apr. May Jun. Jul. Aug. Sept. Oct. Nov. Dec. Rainfall (in.) 2.5 3.1 4.0 4.3 3.6 2.4 1.2 0.6 1.5 1.4 1.1 2.6 Umbrella sales 132 140 162 170 156 103 98 87 84 78 110 125 Using technology, determine the correlation coefficient for the data to the nearest hundredth. Explain the steps you used. What does the correlation coefficient for the data indicate about the direction and strength of the linear association between the monthly rainfall and the number of umbrellas sold Im stuck on this questionarrow_forwardPatty's Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The following table shows the inches of rainfall and the number of umbrellas the store sold each month. The relationship between the inches of rainfall and umbrella sales can be modeled using a linear function. Apr Jan. Feb. Mar. May Jun. Jul. Aug Sept Oct Nov Dec Month Rainfall (in.) 2.5 3.1 4.0 4.3 3.6 2.4 1.2 0.6 1.5 1.4 1.1 2.6 Umbrella sales 132 140 162 170 156 103 98 87 84 78 110 125 (a) Using technology, determine the correlation coefficient for the data to the nearest hundredth. Explain the steps you used. (b) What does the correlation coefficient for the data indicate about the direction and strength of the linear association between the monthly rainf all and the number of umbrellas sold? Answer.arrow_forward
- ls.schoology.com/assignment/4797695497/assessment Class SucsLIUII 3 (4 punLS) The following table gives a jet's height above the ground (in feet) as a function of time (in seconds) as the jet makes it landing approach. x(in seconds) 0. y (in feet) 3500 10 15 20 3150 2800 2450 2100 25 1750 a. Write the equation that fits this line. (y=mx+b) y -70x+500 b. Use the equation to find the height of the jet after 33 seconds. feet C. After how many seconds is the jet 560 feet above the ground? seconds d. What is the y intercept and what is it's practical meaning?arrow_forwardDetermine whether the equation or table defines y as a function of x y + 1/y = x + 1/xarrow_forwardExpenditures for U.S. Health Care The cost per person per year for health care, with projections to 2018,is shown in the following table a. Let x represent the number of years after 2000 andy represent the annual cost, and sketch the scatterplot of the data.b. Graph the function y = 1.149x3 - 21.564x2 +473.575x + 4749.394 on the same axes as the scatter plot.c. Is the function a good visual fit to the data?arrow_forward
- a. Complete the table of values for the functiony = x3, plot the values of x and y as points ina coordinate plane, and draw a smooth curvethrough the points. b. Graph the function y = x3with a graphing calculator, using the viewing window xmin = -4,xmax = 4, ymin = -30, ymax = 30.c. Compare the graphs in parts (a) and (b).arrow_forwardDetermine whether the statement makes sense or does not make sense, and explain your reasoning : "My body temperature is a function of the time of day."arrow_forwardThe table gives a set of readings obtained when a mass (x) in grams, is hung from a spring, causing it to extend to a length (y) in centimeters. Calculate the equation of the straight line that best represents the data give Mass (x) Length (y) 10 116 40 123 80 144 100 152 120 160 150 173arrow_forward
- Help me fast so that I will give Upvotearrow_forwardComplete each step. a. Create a scatter plot of the data. b. Determine a power function to model the data. c. Calculate the value of each model at x = 30. y 1 2 3 4 5 } 8 22 65 190 370 650 1000 1500arrow_forwardInterpret the unstandardized coefficient for highest years of schooling. E.g., Is the relationship positive or negative? How does a one-unit change in schooling (i.e. an increase in one-year of education) influence Y? Interpret the constant (i.e. the intercept) in the equation? What does it indicate? Calculate the average number of hours watched for someone with 12 years of education.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell