1511. Aviation The number of active certified commercialpilots has been declining since 1980, as shown inthe table.a. Find a linear equation that can be used as a modelto predict the number of active certified commercialpilots for any year. Assume a steady rate of decline.b. Use the model to predict the number of pilots inthe year 2003.EGlencoe/McGraw-Hill8Number of ActiveCertified PilotsYearTotal1980182,0971985155,9291990149,6661993143,0141994138,7281995133,9801996 129,187Source: U. S. Dept.of TransportationAdvanced Mathematical Conce

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Answered: 11. Aviation The number of active…

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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The growth rate of the speed of sound in relation to the temperature in degrees Fahrenheit is a linear function. The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every 1 degree Fahrenheit rise in temperature, the speed of sound increases by 1.1 feet per second. A. Identify the initial value of linear function that gives the speed of sound in terms of temperature. B. A 20 degree Fahrenheit rise in temperature would provide what increase in the speed of sound? C. What would the speed of sound be after a 67 degree Fahrenheit rise in temperature?
In an ever-changing economy, the price of fuel is never constant for too long. The following table shows the average prices and quantities sold of petrol and diesel for June 2012 and June 2014 in the Western Cape. If the base year is 2012, find the Laspeyres quantity index. Round off to four decimals. Jun-12 Jun-14 Quantity Quantity sold sold (millions Price (millions Price Fuel of litres) (Rand) of litres) (Rands) Petrol 1698 9.83 1744 8.27 Diesel 1406 10.80 1489 7.67
Growth charts are often used to monitor children's health. Suppose the average weight for a 1 year old and a 30 month old are 9.6 kilograms and 13.5 kilograms, respectively. a. Find the equation that relates a child's weight (in kilograms) to age (in months), assuming that weight is a linear function of age from 1 year old. b. Provide a detailed interpretation of the slope. C. What is the estimated weight of a 3 year old child?
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A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $12 the average attendence has been 29000. VWhen the price dropped to $10, the average attendence rose to 33000. Assume that attendence is linearly related to ticket price. What ticket price would maximize revenue? $ Submit Question
2. The number of public branch libraries in the United States for several years is given in the table: Year Public Library Branches G500 1994 6223 1995 6172 1996 Branches 6205 1997 6332 1998 6435 a. Graph the data b. Find an equation for a model of these data. Year b. Using your model, estimate the number of branch libraries in 2000 c. Use the graph to estimate in what year(s) there are 6500 branch Libraries
Music camp enrollment during summer 1995 was 184 students. Over the years, the camp became more popular and in 2013, the enrollment had increased to 1,318 students. Assuming this increase was linear, calculate the rate at which the enrollment had increased. The rate at which the enrollment had increased is____students per year.
II.
The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. 220- 210 200 190 180 170 160 150 Year 0 130- 120- 110- 100- 90 801 6 12 15 Let S(t) be the retails sales in billions of dollars in t years since 1995. A linear model for the data is F(t) = 9.44t + 84.182. Retail Sales 85.851 108.426 141.781 169.256 202.297 222.266 3 6 9 12 15 Use the above scatter plot to decide whether the linear model fits the data well. The function is a good model for the data. The function is not a good model for the data Estimate the retails sales in the U. S. in 2015. billions of dollars.
Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.

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