2. The population of a small town has been growing and is shown in the table belowt, the years since 1980P(t), the population1020301500232936185618 (c) Use regression in Desmos to check your answer to Part (b) by entering the table and typing theexpression y1~ a · bª1.(d) If the population continues to grow according to the model, what is the population in 2015?(e) When will the population reach 10,000?

Answered: Image /qna-images/answer/f52285ad-a92f-4d15-8ce5-3cbf7e4f18b7.jpg

Answered: (c) Use regression in Desmos to check…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The volume (in cubic feet) of a black cherry tree can be modeled by the equation y=−50.8+0.3x1+5.1x2, where x1 is the tree's height (in feet) and x2 is the tree's diameter (in inches). Use the multiple regression equation to predict the y-values for the values of the independent variables.
A well-balanced stock market portfolio will often experience an exponential growth. A particular investor with a well-balanced stock market portfolio records the portfolio balance every month, in thousands of dollars, from the date of investment. The roughly exponential growth can be transformed to a linear model by plotting the natural log of the balances versus time, in months, where t = 0 represents the date the money was invested. The linear regression equation for the transformed data is Using this equation, what is the predicted balance of the portfolio after 2 years (24 months)? (A) $5,654 (B) $6,798 (C) $285,431 (D) $896,053 (E) $948,464
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(c) Use regression in Desmos to check your answer to Part (b) by entering the table and typing expression y1 ~ a · bª1. (d) If the population continues to grow according to the model, what is the population in 2015? (e) When will the population reach 10,000?