Task 2. During testing of an experimental diet for hens, it was determined that the average weight w (in grams) of a hen was statistically a linear function of the number of days d after the diet began, where 0≤d ≤50. Suppose the average weight of a hen beginning the diet was 40 grams and 25 days later it was 675 grams. (a) (b) (c) Determine the weight w, as a linear function of days d. Clearly illustrate your steps. (20 marks) Sketch the graph of this linear function by hand. Clearly indicate the points you used to locate this line, as well as the y-intercept of the line. Find the average weight of a hen after 10 days. (20 marks) (20 marks)

Task 2. During testing of an experimental diet for hens, it was determined that the average weight w (in grams) of a hen was statistically a linear function of the number of days d after the diet began, where 0≤d ≤50. Suppose the average weight of a hen beginning the diet was 40 grams and 25 days later it was 675 grams. (a) (b) (c) Determine the weight w, as a linear function of days d. Clearly illustrate your steps. (20 marks) Sketch the graph of this linear function by hand. Clearly indicate the points you used to locate this line, as well as the y-intercept of the line. Find the average weight of a hen after 10 days. (20 marks) (20 marks)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

A chemistry experiment is performed measuring the solubility of potassium chloride (KCl) in water at different temperatures. The goal was to determine if there is a linear relationship between the temperature of the water and how much KCl can dissolve, measured as grams per 100 milliliter (g/100mL). After the experiments were performed, the following data was collected with temperature being the independent x-variable and solubility being the dependent y-variable: Temperature (°C) x Solubility (g/100mL) y 10 31 20 33 30 37 40 41 50 42 Based on the data given for temperature and solubility of KCl and without doing any math yet, which of the following do you predict would best describe the relationship between these variables? A positive linear relationship (r close to 1) A positive linear relationship (r close to -1) A negative linear relationship (r close to 1) A negative linear relationship (r close to -1)…
According to the U.S. Census Bureau, in 2011, the median (middle of the range) annual income of a high school graduate with no further education was about $35,400 per year. If we assume that it takes 4 years to earn a bachelor's degree and 2 additional years to earn a master's degree, the median annual income increases by 12% for each year spent toward successful completion of a degree. This describes a function I = I(y), where I is the median income in 2011 for a person with y years of college education. (a) Express in functional notation the median income in 2011 of an individual with a bachelor's degree, which requires 4 years of college. Calculate the value. (Round your answer to the nearest cent.) I = $ (b) Make a table of values that shows the median income in 2011 for individuals completing 0 through 4 years of college. (Round your answers to the nearest cent.) Years of college Median income (in 2011) 0 $ 1 $ 2 $ 3 $ 4 $ (c) Make a…
The number of banks in a country has been dropping steadily since 1984, and the trend in recent years has been roughly linear. The annual data for the years 1999 through 2008 can be summarized as follows, where x represents the years since 1990 and y the number of banks, in thousands. n=10 Ex-235 ²-5605 Ey-77.564 Ey²=603.80424 Exy-1810.155 a. Find an equation for the least squares line. b. Use your result from part a to predict the number of banks in the year 2020. c. If this trend continues linearly, in what year will the number of banks drop below 6200? d. Find and interpret the correlation coefficient.
X₁ 2009 2010 2011 2012 2013 2014 2015 2016 (2 N 3₁ 45.3 50.2 51.4 50.2 52.9 54.1 55 57.25 powered by desmos X Y: # of gym memberships (in millions) 58- 56- 54- 52- 50- -48- 46- 44- 42- 4008 (2010, 50.2) 2009 (2009, 45.3) 2010 (2011, 51.4) (2012, 50.2) (2013, 52.9) 2011 x: Year 2012 2013 (2016, 57.25) (2015, 55) (2014, 54.1) 2014 2015 2016
The income of farmers depends on various factors. To predict the income of the next year, a study was undertaken and data was gathered considering as many as possible factors that might influence the yearly income. Regression methods are used to create such a prediction function, that is, we want to predict the profit for the next year. The following were determined. X₁ = SIZE - farm size recorded × 1000 hectares X₂ AGE - how long the farm has been in operation in years X3 = RATIO - the ratio of land size to field size recorded as 0.5, 0.75, 0.8 and 0.9 X4 = METHOD - rotational and non rotational method of planting Ŷ INCOME the income per year recorded in × R 1 000 000.00 The partial dataset is as follows INCOME Y 1.3 2.4 3.2 1.5 2.1 a. C. Standardized Residual Sample Quantiles 15 1.0- 0.8- 0.6- 0.4- 0.2- 0.0- 20 SIZE X₁ 25 5 8 2 1.2 1.5 Predicted Theoretical Quantiles. 45 AGE X₂ 1.1. The analyst did some exploratory analysis and below are some of the residual plots he constructed.…
60% 12:18 PM + MathHW414b.. / Activinspire - Studio Untitied Untitied CLASSFLOW CONNECT DEVICES Page 430 of 1,040 B Which of the following functions has a greater slope and y-intercept? Function 1: Y = 11x - (-13) Function 2: 90 80 70 60 50 40 30 20 10 6. You're using this app in Workspace.
10. The number of male alates in an ant colony has been found to be approximately a linear function of the age of the colony, with a 5-year-old colony having 8.2 alates on average, and a 17-year-old colony having an average of 33.4 alates. Write the number of male alates ( y ) as a linear function of the age of the colony in years (t).