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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Similar questions

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.)
A nationa! census is mandated by the Constitution of Pakistan to be held every ten years. After the independence of Pakistan in 1947, the first census took place in 1951. Figure 1 reflects the increase in population of Pakistan during last four nationa! census. The increase between 1972 and 2017 could be approximated by a linear function. If in 1972 the popuiation was 65.309 million and as per the census data of 2017 the popuiation was 207.774 million; a) Determine the estimation function P = f (t), where P equais the popuiation of Pakistan and t equals time measured in years since 1972. b) Interpret the slope and P intercept c) According to this function, what wii be the estimated popuiation of Pakistan in 2027 census? Census Data 250000000 200000000 150000000 100000000 50000000 1972 1981 1998 2017 Census Year Census Data Population (approx)
The linearization of a function works best when it is used to approximate a function, meaning behaviour and value, close to the point of tangency. A. True B. False
2. Suppose someone says that the price of a share of Google stock is a function of time. Translate this into our careful way of defining functions.
2) A rare stamp was worth $65 in 1995. It was predicted to grow in value at a rate of 8% per year. a) Write an equation to represent the value of the stamp, y dollars, as a function of the number of years, x, since 1995. b) What is the value of the stamp today? c) In which year the stamp will double the value?
Q3) A well-circulated lake contains 1000 kL of water that is polluted at a concentration of 2 kg/kL. Water from the effluent of a factory enters the lake at a rate of 5 kL/h with a concentration of 7 kg/kL of the pollutant. Water flows out of the lake through an outlet at the rate of 2 kL/h. Determine the amount and concentration of the pollutant as a function of time.
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

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