Coal Consumption The following table gives the amount ofcoal (in thousand short tons) consumed by U. S. utilities to pro-duce electricity. Source: U.S. Department of Energy.YearConsumption199585020009862005103720109342012825(a) Plot the data by letting t be the years since 1990. Would alinear or quadratic function model these data best?(b) Find the quadratic function defined by f(t) =a(t – h)? + k that models the data. Use the highest pointas the vertex, (h, k). Then choose (10, 986) as a secondpoint to determine a.

Let's plot the given table of data on a graph. Then decide whether linear or quadratic graph would…

Answered: Coal Consumption The following table…

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 gives the projections of the population, in millions, of a country's residents over age 16 for selected years from 2015 to 2060. Answer parts (a) through (c). b. What does the model predict that the population will be in 2052? Year 2015 2020 2025 2030 2035 c. In what year does the model predict that the population will be 336.823million? Population (millions) a. Find a linear function that models the data, with y equal to the population in millions and x equal to the number of years after 2010. y=x+ (Type integers or decimals rounded to three decimal places as needed.) 255.161 266.024 276.558 286.967 297,259 Year 2040 2045 2050 2055 2060 Population (millions) 306.634 315.152 323.314 331.770 340.868 D
For the data given in the table below, tell whether the graph is likely to be best represented by a linear model, a quadratic model, or neither. Let x repesent the number of years since 2000. If there is a trend, predict the number of natural disasters in 2016. 2003 2005 Year Number of natural disasters (in thousands) 2000 114.7 2001 83.8 2002 82.3 64.2 2004 77.0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 66.5 2006 98.5 O A. The graph is best represented by a linear model. The linear equation is The number of natural disasters in 2016 is The number of natural disasters in 2016 is OB. The graph is best represented by a quadratic model. The quadratic equation is O c. Neither a linear nor a quadratic model can best represent the graph of this data.
The growth rate of the speed of sound in relation to the temperature in degrees Fahrenheit is a linear function. The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every 1 degree Fahrenheit rise in temperature, the speed of sound increases by 1.1 feet per second. A. Identify the initial value of linear function that gives the speed of sound in terms of temperature. B. A 20 degree Fahrenheit rise in temperature would provide what increase in the speed of sound? C. What would the speed of sound be after a 67 degree Fahrenheit rise in temperature?
The follow table shows total dollar sales (in thousands) for a local retailer for various years. Year 2019 2020 2021 2022 2023 Sales ($) 16 21 26 31 36 a) What was the dollar amount of sales for 2022? $ b) By how much did sales increase each year? $ c) Find a linear function S(x) that models the above data, where x is the number of years after 2018 (so that the year 2019 corresponds to x = 1, the year 2020 corresponds to x = 2, and so on) and S(x) is the dollar amount of sales in thousands. S(x) = X + d) Use S(x) to predict sales in 2025. $ If needed, round answer to 5 decimal plates. Enter DNE for Does Not Exist, oo for Infinity Question Help: Message instructor Submit Question thousand thousand thousand
My work has been attached and the chart. Need to understand side parts D and E. D) Compare the predicted change in greenhouse gas emissions between 2020 and 2025 to the change between 2025 and 2030? During which five-year period is the predicted change greater and by how much or is it the same in the two time periods? E) During what year does this function rule predict that the US emission of greenhouse gasses will decrease to 1000 million metric tons of carbon dioxide equivalents?
Question 1 If T is a linear transformation such that T(1, 0, 0) = 2, T(0, 1, 0) =3, and T(0, 0, 1) 1, then %3! T(x, y, z) =
The table shows the amount of cement remaining in two cement trucks as a function of time. Time, t Truck A, cubic (min) yards 2 7 5 7 5.5 4.5 Truck B, cubic yards 6.2 5 4.2 After how many minutes will the two trucks have the same amount of remaining cement? Type only the number.
The Cloud World IT cloud services revenues from2009 and projected to 2015 are shown in the table.a. Create a scatter plot for the data with y equal tothe billions of dollars of revenue and x equal to thenumber of years after 2000.b. Use the scatter plot to determine whether the datacan be fit exactly by a linear function.
The linearization of a function works best when it is used to approximate a function, meaning behaviour and value, close to the point of tangency. A. True B. False
Example 3. The solid waste generated in the cities of the US, W (in millions of tons), was 238 in 2000 and 250 in 2012. (a) Assuming W increases linearly, write a formula for W as a function of the year t. (b) Find and interpret both the slope and vertical intercept of W (t).
1) Height of Golf Ball Determine the rate of change in the table and identify whether this data is linear, exponential or quadratic. Time (s) Height (ft) 4 1 68 2 100 100 4 68
ENERGY (KILOWATT-HOURS) 600 500 400 300 200 400 420 370 0 JAN FEB MAR APR MAY 320 310 330 MONTH -380- JUN JUL AUG SEP 400 420 NOV 580 DEC The line graph shows the monthly consumption of energy in kilowatt-hours for a house during a one-year period. Find the total amount of energy consumed during the year.

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