A city's population in the year z1950 was y= 2,969,500. In 1983 the population was 2,972,800.Compute the slope of the population growth (or dectine) and choose the most accurate statement from thefollowing:O The population is increasing at a rate of 100 people per year.O The population is decreasing at a rate of 200 people per year.O The population is decreasing at a rate of 250 people per year.O The population is increasing at a rate of 200 people per year.O The population is decreasing at a rate of 100 people per year.O The population is increasing at a rate of 250 people per year.

City's population in the year x = 1950 was y = 2, 969, 500. Population in the year 1983 was 2, 972,…

Answered: A city's population in the year z 1950…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section4.1: Linear Functions

Problem 121SE: Suppose that average annual income (in dollars) forthe years 1990 through 1999 is given by the...

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bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Find the slope ofthe line in Figure l.
Suppose that average annual income (in dollars) forthe years 1990 through 1999 is given by the linearfunction: I(x)=1,054x+23,286 , where x is thenumber of years after 1990. Which of the followinginterprets the slope in the context of the problem? a. As of 1990, average annual income was $23,286. b. In the ten-year period from 1990-1999, averageannual income increased by a total of $1,054. c. Each year in the decade of the 1990s, averageannual income increased by $1,054. d. Average annual income rose to a level of $23,286 bythe end of 1999.
In industry, the relationship between wages and the quit ratio of employees is defined to be the percentage of employees that quit within 1 year of employment. The quit ratio of a large restaurant chain that paid its employees the minimum hourly wage ($7.25 per hour) was .2 or 20 employees per 100. When the company raised the hourly wage to $8, the quit ratio dropped to .18, or 18 employees per 100. (a) Assuming a linear relationship between the quit ratio Q(x) and the hourly wage x, find an expression for Q(x). (b) What should the hourly wage be for the quit ratio to drop to 10 employees per 100?
What does the slope say about this relationship? For every increase in X of 1, the corresponding average increase in Y is 1.2305 For every increase in X of 1, the corresponding average increase in Y is .4443 For every increase in X of .5, the corresponding average increase in Y is .4443 For every increase in X of .5, the corresponding average decrease in Y is .4443 For every increase in X of 1, the corresponding average decrease in Y is .4443
In 1992, the cost of the operating system for a computer was $50, and in 1998 the cost was $100. Using 1990 as t = 0, derive the linear relationship between the year and cost of the software. your answers to the nearest hundredth. The y-intercept means that in the year ------the cost of the operating system was $------ The slope means that each year the cost is going up by $------
From the early 1970s through 2010 in the US, the enrollment of 3-4 year olds has steadily increased. In 1970, 20% of 3 - 4 year olds were enrolled in Pre-K while in 2010, the Pre-K enrollment of 3 - 4 year olds was 53%. Write a linear equation that would model this data where t = time in years after 1970 and P is the rate of 3 - 4 year old enrollment in pre-K as a percentage. P = 0.825t +20 P = 0.825t - 53 P = -0.825t +20 P = 0.825t + 53 P = 0.825t -20
From 1985 to 2003, the number BB of federally insured banks could be approximated by B(t)=−323.4t+13794B(t)=-323.4t+13794 where t is the year and t=0 corresponds to 1985.How many federally insured banks were there in 1990? Find the slope of the graph of B. Interpret this slope as a rate of change. Choose the correct answer below. The number of banks decreased by 323.4 banks per year The number of banks increased by 12177 banks per year The number of banks increased by 323.4 banks per year The number of banks decreased by 12177 banks per year The number of banks decreased by 13794 banks per year The number of banks increased by 13794 banks per year Find the y-intercept of the graph of B.The y-intercept is Interpret the y-intercept. Choose the correct answer below. The y-intercept is the number of banks in 1985 The y-intercept is the number of banks in 2003 The y-intercept is the number of banks in 1990 The y-intercept is the minimum number of banks allowed in the country The…
A linear model that approximates average life-expectancy is y = 0.29t + 65.36, where y is the average life-expectancy and t is the year the person was born and t = 0 is 1950 (t is measured in years). This model has a domain −30≤t≤40−30≤t≤40. For the model y = 0.29t + 65.36, what is the slope and what does it tell you about the life-expectancy of a child in relation to the year the child was born? For the model y = 0.29t + 65.36, what is the y-intercept and what does it tell you about the life-expectancy of a child (at birth)? Using this model, predict the life-expectancy in 2000, 2010, and 2100. Are the answers to the previous problem reasonable? What cautions would you give when using a mathematical model? According to the model, when will the life-expectancy of a child be 80, 100, and 0 ? the slope means that each year life expectance is going up by ------ each year.The yy intercept means that in 1950 life expectance was------ years. The x-intercept means that life…
Q8The manager of IT department at a large government agency is investigating the relationship between the age of a PC in years (x) and its monthly maintenance cost (in Dhs). He conducted a regression analysis on a sample of 60 PCs (range from new to 10 years old) and reported the regression equation as y with hat on top equals 110 plus 20 space x Which of the following is the correct interpretation of the slope? For every additional year of age, the monthly maintenance costs increase on average by 110 Dhs. The slope is meaningless in this case. For every additional year of age, the expected monthly maintenance cost of PCs increases by 20 Dhs. The expected monthly maintenance cost of a new PC is 110 Dhs.
From 1983 to 2011, the number BB of federally insured banks could be approximated by B(t)=−330t+13743B(t)=-330t+13743 where t is the year and t=0 corresponds to 1983.Find the slope of the graph of B. Interpret this slope as a rate of change. Choose the correct answer below. The number of banks increased by 330 banks per year The number of banks decreased by -330 banks per year The number of banks decreased by 330 banks per year The number of banks decreased by 13743 banks per year The number of banks increased by -330 banks per year The number of banks increased by 13743 banks per year Find the y-intercept of the graph of B.The y-intercept is Interpret the y-intercept. Choose the correct answer below. The y-intercept is the maximum number of banks allowed in the country The y-intercept is the number of banks in 1988 The y-intercept is the minimum number of banks allowed in the country The y-intercept is the number of banks in 1983 The y-intercept is the number of banks in 2011
Find the value of y between the points (2, y) and (5, − 1) with slope − 3.

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