The following table gives the number of worldwide cell phone subscribers, in billions, for selected yearsfrom 2010 and projected to 2020. Complete parts (a) through (e)Subscribers(billions)5.386016.63Subscribers(billions)8348 558.74YearYear2016201720182010201120122013201420157.1920198.917.638.0220209.05a. Find a quadratic function that models the number of subscribers, QU), in billions, as a function of t, the number of years after 2010.(Type an equation. Type integers or decimals rounded to three decimal places for any numbers in the equation.)b. What does the model predict the number of subscribers will be in 2021?bilion(Type an integer or decimal rounded to three decimal places as needed)c. What does the model predict the number of subscribers will be in 2022? What do the results of parts (b) and (c) tell us?The model predicts there will be bilion cell phone subscribers in 2022What do the results of parts (b) and (c) tell us?What does the model predict the number of subscribers will be in 2022? What do the results of parts (b) and (c) tell us?The model predicts there will be billion cell phone subscribers in 2022What do the results of parts (b) and (c) tell us?O A. The model predicts the number of cell phone subscribers increases in 2022O B. The model predicts the number of cell phone subscribers will be the same in 2022 as in 2021.OC. The model predicts the number of cell phone subscribers decreases in 2022.O D. The model does not apply for 2021 and 2022.d. Graphically find when the model reaches its maximum.The model reaches its maximum in the yeard. Graphically find when the model reaches its maximum.The model reaches its maximum in the year(Round up to the nearest integer.)e. Is the model a good predictor of future subscribers after 2021?O A. Yes, because the number of subscribers should continue to decrease.O B. Yes, because the number of subscribers should continue to increase.O C. No, because the number of subscribers should continue to increase.O D. No, because the number of subscribers should continue to decrease.

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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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A cell phone plan charges $30 per month for unlimited call and text messages, however each gigabyte (GB) of data is charged at a rate of $10 per GB. Assume that fractional values of a GB are prorated according to this rate. If a user uses more than 15 GB of data during their monthly billing cycle, then they are not charged more than the cost for the first 15 GB. Write a piecewise-defined function that describes the amount a cell phone user will pay, C, as a function of the number of GB of data they use, d, over the course of a month. (You may enter the intervals using either interval notation or as an inequality. Do not include the dollar sign in any of your answers.) Provide your answer below: The first piece of C(d) is defined in the interval The second piece is defined in the interval
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
Write the function in parts
Suppose that you want to examine whether income elasticity of consumption is different for males and females while controlling for age, education level and marital status of respondents. In the model, you should include: Quadratics of log(income) None of them An interaction term of income with a dummy variable representing gender status An interaction term of log(income) with age. An interaction term of log(income) with a dummy variable representing gender status
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?
Sarah pays a flat rate plus a rate per minute for her phone plan as shown in the graph above. The cost of Sarah's phone plan, C(t), can be represented by which of the following functions? A: C(t) = -0.10t+25 B: C(t) = 0.10t+25 C: C(t) = 25(0.10)^t D: C(t) = 25(1+0.10)^t

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