Landfill The amount of trash in a county landfill is modeledby the functionT(x) = 150x + 32,000%3Dwhere x is the number of years since 1996 and T(x) is mea-sured in thousands of tons.(a) Sketch a graph of T.(b) What is the slope of the graph?(c) At what rate is the amount of trash in the landfill increas-ing per year?

Answered: - Landfill The amount of trash in a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
h(x)=1/4(x) -5 slope? is it increasing decreasing or constant
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).
K The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can be approximated by the function g(t) = 15.73(1.045), where t = 10 corresponds to the year 2010. (a) Find the amount of dry natural gas energy produced in 2015. (b) If the model continues to be accurate, project the amount of dry natural gas energy produced in 2022. (a) The amount of dry natural gas energy produced in 2015 was (Round to the nearest hundredth as needed.) trillion cubic feet. (b) If the model continues to be accurate, the amount of dry natural gas energy that will be produced in 2022 is (Round to the nearest hundredth as needed.) trillion cubic feet.
K The manufacturer's suggested retail price (MSRP) for a particular car is $25,275, and it is expected to be worth $14,427 in 4 years. (a) Find a linear depreciation function for this car. (b) Estimate the value of the car 5 years from now. (c) At what rate is the car depreciating? (a) What is the linear depreciation function for this car? f(x) = (Simplify your answer. Do not include the $ symbol in your answer.) (b) What is the estimated value of the car 5 years from now? (c) At what rate is the car depreciating? The car is decreasing in value an average of $ a year.

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