Population for Germany from 1960-2020YearPopulation196073,414,239197078,578,385198078,283,100199079,053,984200081,400,882201080,827,002202083,783,942Plot the graph of the growth rates versus year. Estimate the linear model for the growth rate asa function of time in year. Using the linear model for the growth rate, find the non-autonomousdiscrete Malthusian growth model. Estimate the population and the relative error.

Consider the given data that shows the population of Germany from 1960-2020. The growth rate of the…

Answered: Year Population 1960 73,414,239 1970…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 30E

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Tree Diameter and Age To estimate ages of trees, forest rangers use a linear model that relates tree diameter to age. The model is useful because tree diameter is much easier to measure than tree age which requires special tools for extracting a representative cross section of the tree and counting rings. To find the model, use the data in the table, which were collected for a certain variety of oaks. a Make a scatter plot of the data. b Find and graph a linear function that models the data. c Use the model to estimate the age of an oak whose diameter is 18 in. Diameter in. Age years 2.5 15 4.0 24 6.0 32 8.0 56 9.0 49 9.5 76 12.5 90 15.5 89
Draw a scatter plot for the data in Table 2. Then determine whether the data appears to belinearly related.
Does the following table represent a linear function ? If so, find the linear equation that models the data.
Employee Turnover The percentage of employees who cease their employment during a year is referred to as employee turnover, and it is a serious issue for businesses. The following table shows the cost, in millions of dollars, to Walmart for a given employee turnover percentage in a year.13 E = employee turnover 10 20 30 40 C = cost 250 400 550 700 a. Show that the data can be modeled by a linear function. b. Find the slope of the linear function. c. Find a linear model for the data. d. Use the result from part c to find the cost to Walmart if employee turnover is 33 in a year.
Filling a PondA large koi pond is filled from a garden hoseat the rate of 10 gal/min.Initially,the pond contains 300 galof water. (a) Find a linear function V that models the volume of waterin the pond at any time t . (b) If the pond has a capacity of 1300 gal, how long does it take to completely fill the pond?
Maximum Sales Growth This is a continuation of Exercise 10. In this exercise, we determine how the sales level that gives the maximum growth rate is related to the limit on sales. Assume, as above, that the constant of proportionality is 0.3, but now suppose that sales grow to a level of 4 thousand dollars in the limit. a. Write an equation that shows the proportionality relation for G. b. On the basis of the equation from part a, make a graph of G as a function of s. c. At what sales level is the growth rate as large as possible? d. Replace the limit of 4 thousand dollars with another number, and find at what sales level the growth rate is as large as possible. What is the relationship between the limit and the sales level that gives the largest growth rate? Does this relationship change if the proportionality constant is changed? e. Use your answers in part d to explain how to determine the limit if we are given sales data showing the sales up to a point where the growth rate begins to decrease.

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