4. An army barrack has enough food to feed 100 soldiers for 30 days.a.Construct a function that will show how many days would the same amount of foodlast given the number of soldiers in the barrack.b. Show the graph of the function using Desmos. Include the graph of the asymptote/s.c. How many days would the same amount of food last if there are 250 soldiers in thebarrack?

If x workers can do the work in y days and the same work can be done by a workers in b days is…

Answered: 4. An army barrack has enough food to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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10). A function g is given. Identify the parents function. Then use the steps for graphing multiple transformations of list in order.
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
3. An airline company offers a promo of Php 100.00 promo fare from Manila to anywhere in the Philippines. The additional fees cost Php 250.00. Task 1: Write a function that will show how much a passenger will pay given the distance (in km) from manila to his destination. (Include the representation of variables) Task 2: Using Desmos, show the graph of the function. Task 3: How much will you pay if the distance from Manila to your destination is 591.35km? (Show/Explain your solution)
Explain every answer
2.An object whose temperature is 100°C is placed in a medium whose temperature is A°C. The temperature of the object falls to B°C in C min. a) Express the temperature T of the object as a function of time and draw its graph roughly to the scale. b)Calculate how long will it take the object to cool to 50°C. See table below to find "your" numerical values. A 25 30 35 R 0 1 2 B 80 75 70 C 10 15 20
Student Loans Data for selected years from 2011and projected to 2023 can be used to show that thebalance of federal direct student loans y, in billions ofdollars, is related to the number of years after 2010,x, by the function y = 130.7x + 699.7.a. Graph the function for x-values corresponding2010 to 2025.b. Find the value of y when x is 13.c. What does this function predict the balance offederal direct student loans will be in 2029?(Source: U.S. Office of Management and Budget)
Find a formula for each function graphed in Exercises 29. а. b. (1, 1) 2 30. а. b. 2 0 30 (2, 1) 2 (2, – 1) 3 2.

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