10. The number of male alates in an ant colony has been found to be approximately a linear function ofthe age of the colony, with a 5-year-old colony having 8.2 alates on average, and a 17-year-old colonyhaving an average of 33.4 alates. Write the number of male alates ( y ) as a linear function of the age ofthe colony in years (t).

Given that number of male alates is linear function of age of ant colony. It is required to…

Answered: 10. The number of male alates in an ant…

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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cab Module 2 4. In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was found to depend on the number of words already learned, x, according to the equation L(x) = 200.4x. a) State the coordinates of the x-intercept. b) State the coordinates of the y-intercept. c) State the slope. d) Graph the linear function for x ≥ 0. (Label the axes) ▬▬▬|||| ners wou problem. Write the ins ation in a e) Is the learning rate increasing or decreasing? Explain why your answer makes sense in the context of the problem. Use a complete sentence with proper grammar and correct spelling.
12. Functions that describe predator-prey relationships have periods.
The population of a Ukrainian village is currently 500. Based on the observed growth of the population in past years it is estimated that after 1 year the population will be 600. Similarly, it is estimated that after 2 and 3 years, the population of the village will be 720 and 864 respectively.Which function describes the relationship between year and the village population?
Answer this question please, and make the explanation clear *number nine*
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
There were around 70,000 black rhinos in the world in 1970. After that, their population declined by a rate of 12.6% annually. Which function best describes the number of black rhinos remaining x years after 1970?
While comparing the sales of different brands of cement of the same quality, it is found that thevolume of sales is a function of the number of advertisements on hoardings (x1) and the number ofminutes of advertisement on television (x2), expressed byf=12*x1*x2-x1'2-3*x2'2Each advertisement on a hoarding or each minute of television time costs Rs. 1000. How should acement brand allocate Rs. 48,000 between the two advertising media so that its sales are maximized?
As part of a study at a large university, data were collected on n = 224 freshmen computer science (CS) majors in a particular year. The researchers were interested in modeling y, a student's grade point average (GPA) after three semesters, as a function of the following independent variables (recorded at the time the students enrolled in the university): X 1= average high school grade in mathematics (HSM) X 2 = average high school grade in science (HSS) X 3 = average high school grade in English (HSE) X 4 = SAT mathematics score (SATM) x 5 = SAT verbal score (SATV) A first-order model was fit to the data with the following results: SOURCE DF MS F VALUE PROB>F MODEL 28.64 5.73 11.69 0001 ERROR 218 106 82 0.49 TOTAL 223 135.46 ROOT MSE DEP MEAN 0.700 R-SQUARE 0.211 4.635 ADJ R-SQ 0.193 PARAMETER STANDARD T FOR O VARIABLE ESTIMATE ERROR PARAMETER -0 PROB> ITI INTERCEPT 2.327 0.039 5.817 0.0001 0.0003 XI HSM) X2 (HSS) X3 (HSE) X4 (SATM) X5 (SATV) 0.146 0.037 3.718 a.036 0.038 0.950 0.3432…
Carbon Dioxide Emissions The table gives the millions of metric tons of carbon dioxide emissions frombiomass energy combustion in the United States forselected years from 2010 projected to 2032.a. Find a linear function that gives the millions ofmetric tons of carbon dioxide emissions, y, asfunction of x, the number of years after 2010.b. Graph the model on the same axes with the data.Is it a good fit for the data?c. What does the (unrounded) model predict the millions of metric tons of carbon dioxide emissionswill be in 2027? d. When will the millions of metric tons of carbondioxide emissions reach 776.6, according to themodel?
Level curves (isothermals) are shown for the water temperature (in °C) in Long Lake (Minnesota) in 1998 as a function of depth and time of year. Estimate the temperature in the lake on October 7 (day 280) at a depth of 5 m and on June 9 (day 160) at a depth of 10 m. X°C (day 280 and depth 5 m) X°C (day 160 and depth 10 m) Enter a number. Depth (m) 0 sti 10- 15+ 12 16 + 120 20 160 20 Day of 1998 16 200 240 280
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes), The remaining credit after 38 minutes of calls is 520.44, and the remaining credit after 69 minutes of calls is S16.72. What is the remaining credit after 77 minutes of calls? Remaining credit (in dollars) Calling time (In minutes)

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