The table shows data for sulfur dioxide emissions from electricity generation (in millions of short tons) for selected years from 2000 and projected to 2035. These data can be modeled by the function E(x) = (0.001x - 0.062)(-0.18x2 + 8.2x - 200) where x is the number of years past 2000. Short Tons Year (in millions) 2000 11.4 2005 10.2 2008 7.6 2015 4.7 2020 4.2 2025 3.8 2030 3.7 2035 3.8 (a) Find the function that models the rate of change of these emissions. (Use exact numerical values. Do not round.) E'(x) = (b) Find E'(15). (Give an exact answer. Do not round.) E'(15) =

The table shows data for sulfur dioxide emissions from electricity generation (in millions of short tons) for selected years from 2000 and projected to 2035. These data can be modeled by the function E(x) = (0.001x - 0.062)(-0.18x2 + 8.2x - 200) where x is the number of years past 2000. Short Tons Year (in millions) 2000 11.4 2005 10.2 2008 7.6 2015 4.7 2020 4.2 2025 3.8 2030 3.7 2035 3.8 (a) Find the function that models the rate of change of these emissions. (Use exact numerical values. Do not round.) E'(x) = (b) Find E'(15). (Give an exact answer. Do not round.) E'(15) =

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...

See similar textbooks

Similar questions

Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.
If xis large, which function grows faster, f(x)=2x or g(x)=x2?
Can the average rate of change of a function be constant?
Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds. Growth has slowed to a doubling time of approximately three years. Find the new function that takes that longer doubling time into account.
The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?
Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.