Pregnancy. For Exercises 87–90, use the following graph of a woman’s “stress test.” This graph shows the size of a pregnant woman’s contractions as a function of time. Pregnancy. For Exercises 87–90, use the following graph of a woman’s “stress test.” This graph shows the size of a pregnant woman’s contractions as a function of time.
The greatest integer function
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Elementary and Intermediate Algebra
- . Gold Prices The price of an ounce of gold in U.S. dollars for the years 1997–2011 can be modeled by thefunction G(x) = 11.532x2 - 259.978x + 1666.555,where x is the number of years after 1990.a. Graph this function for values of x representing1997–2011.b. According to the model, what will the price ofgold be in 2020?c. Use graphical or numerical methods to estimatewhen the price of gold will reach $2702.80per ounce.arrow_forwardMarriage Rate The marriage rate per 1000 unmarried women for the years 1987–2014 is given by 132x + 1000y = 9570 where x is the number ofyears after 1980.a. Find the x-intercept of the graph of this function. b. Find and interpret the y-intercept of the graph ofthis function.c. Graph this function, using the intercepts.(Source: National Vital Statistics Report)arrow_forwardU.S. Population The U.S. population can be modeledfor the years 1960–2060 by the function p = 2.6x +177, where p is in millions of people and x is in yearsfrom 1960. During what year does the model estimatethe population to be 320,000,000?(Source: www.census.gov/statab)arrow_forward
- Consider the following model to grow simple networks. At time t = 1 we start with a complete network with no = 6 nodes. At each time step t > 1 a new node is added to the network. The node arrives together with m = 2 new links, which are connected to m = 2 different nodes already present in the network. The probability II, that a new link is connected to node i is: N(t-1) II¿ = ki - 1 Ꮓ with Z=(k-1) j=1 where ki is the degree of node i, and N(t - 1) is the number of nodes in the network at timet - 1.arrow_forwardWrite a function to model the scenario [y=a (x-h)2 + k]arrow_forwardThe number (in thousands) of women in the work force as function of the year is shown in the figure below. Calculate and interpret the following in your case study report. Evaluate f(1983) and f(2011) using the graph. Solve f(year) = 50,000,000 using the graph. Solve f(year) = 43,000,000 using the graph. Estimate f(2014) - f(1994) using the graph. What are the natural domain and range of this function?arrow_forward
- Create multiple representations (x-> y table, graph, and equation) of the function g(x)= 2/x. Then make at least 3 summary statements.arrow_forwardGive the formula of even function?arrow_forwardSuppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."arrow_forward
- 5arrow_forwardA library has 50,000 books and is adding 500 books every year. Write a function f(x) for the number of books x years from now. (Hint: find the number of books after 1 year, 2 years, 3 years)arrow_forwardJulie used data from 2017 to create this function to model the amount of daylight in New York City throughout any year. The variable t represents the number of days beginning with the spring equinox (March 21), and D(t) represents the amount of daylight each day, measured in minutes. 1. According to Julie's function, what are the dates in 2017 with the greatest amount and least amount of daylight time? What is the amount of daylight time during each of these days, in hours and minutes? Explain your reasoning. January MTWTFS 2. Consider that this trigonometric function is written in the form A sin(Bx + C) + D. a. Explain how your responses to Question 1 relate to the A-value in this context. b. What is the meaning of the B-value and D-value in this context. 2017 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 May SMTWTFS 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 31 September SMTWTFS D(t) = 175.5 sin 365t 12 3 4 5 6 7 8 9 10 11 12…arrow_forward
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