PRACTISING5. The graph shows how 2007 prices for mailing letters in Canada vary with mass.Canadian Domestic Letter PricesPrice ($)2.502.001.501.000.500.00↑Y100200300Mass (g)400500a) Explain why this relation is a function. Why is it important for thisto be so?b) State the domain and range of the function.

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Answered: 5. The graph shows how 2007 prices for…

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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A phone company charges customers a fixed 40 dollar service fee plus $0.10 per megabyte of data used, up to a cap of 500 megabytes. If a customer exceeds a 500 megabyte limit, then the company charges $0.50 per megabyte for any additional data used. a. Graph a function modeling this scenario. Clearly define all variables and label your graph. b. Write the piecewise function for total phone bill based on the number of megabytes a customer uses. c. What is the cost if a customer uses 600 megabytes in a month?
Consider the graph below. Marriage and Divorce Rates (U.S.) 14 ]Marriage |Divorce 12 10 Year Which is the best estimate for the difference between Marriage and Divorce rates in the year 1970? 6000 5000 3000 O 4000 6 2. Rate (number per 1000)
2. Let's explore the behavior of the function that relates altitude, h, in meters, and atmospheric pressure, P(h), in millibars. Below is a table and a graph for a set of altitude values and pressure values. h (meters) P(h) (millibars) Description 1000 sea level 553 946.71 CN Tower, Toronto, Ontario, Canada Guadalupe Peak, highest point in Texas 2,667 767.91 4,392 647.33 Mt. Rainier, highest point in Washington state 11,000 336.48 commercial airliner altitude Pressure (millibars) 1000 900 800 700 600 500 400 300 200 100 Altitude (thousand meters) 10 (a) Explain why a linear function would not be a good model for this set of data. (b) At which altitude is the air pressure equal to 500 millibars? (c) Write a formula for P(h), the atmospheric pressure, in terms of h, the altitude. Check your formula using the data given in the table. (d) What is the atmospheric pressure at the top of Mount Everest (8848 meters)? What is the at- mospheric pressure at Death Valley National Park (86 meters…
Part C: A pair of jeans are on sale for 10% off, and the sales tax rate is 8%. 1. Write a function s(p) that gives the sale price of a pair of jeans regularly priced at p dollars. 2. Write a function t(p) that gives the total cost including tax for a regularly priced pair of jeans that cost p dollars. Make sure to write your function in simplest form. 3. You want to buy a pair of jeans that are on sale. Does it matter whether the employee applies the sale discount first or adds on the sales tax first to find the total cost? Use compositions of s(p) and t(p) to support your answer.

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