Mod8 Exponential Modeling and Inverse Functions: Problem 1Previous Problem Problem List Next ProblemThe table below gives U.S. lead emissions, L. into the environment in millions of metric tons for 1970-1992. Let /= 0 ini 1970.1970 1975 1980 1985 1988 1989 1990 1991 1992Lead emissions 226.5 110.4 38.4 16 8.2 6.5 5.5 4.1 3.7Year(a) Find an exponential model for these data.Lead emission, L(t) =(b) Find a fourth-degree polynomial model for these data.Lead emission, L(r) =(c) Which of these curves gives a better model for the data?A. exponential modelB. fourth-degree polynomial(d) Estimate the lead emission in 1984 according to the polynomial model in part (b).

We have to calculate exponential equation and four degree polynomial with the help of mentioned…

Answered: The table below gives U.S. lead…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The table shows a city's population at 10-year intervals from 1970 to 2000. t = 0 represents 1970. %3D t: years since 1970 10 20 30 P: population 240 710 2130 6450 al Use exponential regression and all the data points to write an equation for the function, P = f (t) for the population, t years after 1970. Round your "a" and “b" values in your equation to 4 decimal places. b) Using your regression equation, determine the predicted population in 2025 (to the nearest person).
The table below gives U.S. lead emissions, L, into the environment in millions of metric tons for 1970-1992. Let 1= 0 in 1970. 1970 1975 1980 1985 1988 1989 1990 1991 1992 5 3.9 Year Lead emissions 274 114.6 42.8 14 8.3 6.7 6 (a) Find an exponential model for these data. Lead emission, L(1) = (b) Find a fourth-degree polynomial model for these data. Lead emission, L(t) = (c) Which of these curves gives a better model for the data? OA. exponential model OB. fourth-degree polynomial (d) Estimate the lead emission in 1982 according to the polynomial model in part (b).
The table shows the total assets (in trillions) held in a foreign bank for the given years. Complete parts (a) through (c) below. 2000 | 2005 | 2007 | 2009 | 2011 | 2013 | 2015 117 150 199 Year Assets 17 42 52 78 (a) Find an exponential model of the form f(t) = y,b' for these data, where t= 0 corresponds to the year 2000. If you do not have suitable technology, use the first and last data points to find a function. If you have a graphing calculator or other suitable technology, use exponential regression to find a function. The exponential model for the data is f(t) = O
Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given as in the table below. P(x) 3 0.05 4 0.40 0.25 0.20 0.10 On average, how many years do you expect it to take for an individual to earn a B.S.? (Enter your answer to two decimal places.) 4.95 X years Additional Materials
A national census bureau predicts that a certain population will increase from 35.3 million in 2000 to 64.3 million in 2060. Complete parts (a) through (c) below. (a) Find an exponential function of the form f(t) = y₁b¹ for these data, in which t= 0 corresponds to 2000 and f(t) is in millions. f(t) (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.) (b) What is the projected population in 2030? In 2040? = In 2030, the population is projected to be (Round to one decimal place as needed.) million. million. In 2040, the population is projected to be (Round to one decimal place as needed.) (c) By experimenting with different values of t (or by using a graphing calculator to solve an appropriate equation), estimate the first full year in which the population will exceed 56 million. The first full year in which the population will exceed 56 million is
7. Use the given points and curve to identify the equation for the EXPONENTIAL function graphed below. a. f(x) = ? b. Find the Domain and Range 4 - 3 - 2 - -5 -4 -3 -2 -1 1 3 4 5 -1 -2 -3 -4
Nitrogen dioxide, NO2, is an air pollutant resulting from burning fossil fuels in cars and power plants. The following table shows the decrease in the national average of the concentration in parts per billion (ppb) of NO2 for selected years. Year 2014 2015 2016 2017 2018 NO2 (ppb) 40.8107 39.7886 38.7972 37.8209 36.8752 Use exponential regression to find an exponential decay function for the concentration, C, of NO2 t years after 2014. Round constants to the nearest ten-thousandth. C = Use the model to predict the concentration of NO2 (in ppb) in 2050. Round to the nearest whole number. ? ppb

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