The following table gives projections of thepopulation of a country from 2000 to 2100.Answer parts (a) through (c).Year200020102020203020402050OA. The projected population isOB. The projected population isPopulation (millions) Year20602070208020902100f(x) = x +(Type integers or decimals rounded to three decimal places as needed.)(b) Find f(70). State what the value of f(70) means.f(70) =(Round to one decimal place as needed.)State what the value of f(70) means.(a) Find a linear function that models the data, with x equal to the number of years after 2000 and f(x) equal to thepopulation in millions.million in the year 2170.million in the year 2070.284.4307.1330.3352.8378.9409.4The population in the year 2080 will be(Round to one decimal place as needed.)How does this compare with the value for 2080 in the table?million.OA. This value is fairly close to the table value.OB. This value is not very close to the table value.Population (millions)(c) What does this model predict the population to be in 2080? How does this compare with the value for 2080 in thetable?434.2465.9503.5543.4575.5

We have to find the value of f(70) and f(80).

Answered: The following table gives projections…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Similar questions

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can be modeled as p(x) = −0.00022x3 + 0.014x2 − 0.0033x + 12.236 percent where x is the number of years since 2000, data from 0 ≤ x ≤ 50. 1. Determine the value of x in the domain 0 ≤ x ≤ 50 for which the percentage is predicted to be increasing most rapidly (Round your answer to three decimal places). 2. Thus, in which year is the percentage is predicted to be increasing most rapidly? 3. Calculate the percentage at that time. (Round your answer to two decimal places.) 4. Calculate the rate of change of the percentage at that time. (Round your answer to three decimal places.)
Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in dollars) given by the function S′(x), where x is the number of years of operation of the machine, while producing a rate of annual costs (in dollars) given by the function C′(x) S′(x)=150−x^2, C′(x)=x^2+11/4x. a. For how many years will it be profitable to use this new machine? b. What are the net total savings during the first year of use of the machine? c. What are the net total savings over the entire period of use of the machine?
The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet where x is the number of years after 1980. 1. Determine the value of x in the domain 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.) 2. Thus, in which year was the median house size was increasing least rapidly? 3. Find the corresponding house size. (Round your answer to one decimal place.) 4. Find the corresponding rate of change in house size. (Round your answer to three decimal places.)
The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet where x is the number of years after 1980. † (a) Determine the value of x in the domain: 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.)? (b) Thus, in which year was the median house size was increasing least rapidly? (Round your answer up to the nearest year.) (c) Find the corresponding house size. (Round your answer to one decimal place.)____square ft(d) Find the corresponding rate of change in house size. (Round your answer to three decimal places.)____square feet per year
With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.00024t3 − 0.026t2 + 1.6t + 2.2

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