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
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.)
2. Lijah opened an account at Advantis Credit Union. The balance of her account after x years is represented by the function b(x) = 500(1.05)*. What annual interest rate is Lijah earning? а. b. After how many years did it take for Lijah's balance to double? Show all of your work.
7. A worker gets $20/hour for a normal work week of 40 hours and time-and-a-half for overtime. Assuming he works at least 40 hours a week, construct a function describing his weekly paycheck as a function of the number of hours worked.
suppose you and your friends create a catapult and launch a water balloon with it. A. the height of the water balloon in feet t seconds after launch is given by f(t) =96t-16t^2. how long will the water balloon be in the air? (here we assume the water balloon is on the ground when the height is 0 ft.) B. viewing a graph of this function below, estimate the maximum height the water balloon achieves. (image of graph below) C. recalling that the function of the height of the water balloon (in feet) is f(t) =96t-16t^2 , use your knowledge about quadratic function to determine the actual height the water balloon achieves.
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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