A region is in the middle of a drought. The table shows the number of homes without water for each day of the drought. What is the expectednumber of homes in the region that will be without water on day 21? Use a quadratic model.DaysHomes without water6.354899.1111212163 homesO 212 homes233 homesO 75 homes

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Answered: A region is in the middle of a drought.…

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 quadratic function models a projectile's height, in meters, above the ground in terms of the time, in seconds, after it was launched. The model estimates that the projectile was launched from an initial height of 7 meters above the ground and reached a maximum height of 51.1 meters above the ground 3 seconds after the launch. How many seconds after the launch does the model estimate that the projectile will return to a height of 7 meters? A. 3 B. 6 C. 7 D. 9
The graph shows a quadratic function of the form R(t) = at2+bt+c, which represents the yearly revenue for a company, where R(t) is the revenue in year t. a. Is the value of a positive, negative, or zero? Explain. b. Write an expression in terms of a and b that represents the year t when the company had the least revenue. c. The company made the same yearly revenues in 2008 and 2018. Estimate the year in which the company had the least revenue. d. Assume that the model is still valid today. Are the yearly revenues currently increasing, decreasing, or constant? Explain.
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4. A company is told that when manufacturing 201 vehicles, it will minimize its production costs per vehicle to be $3015. If the company only manufactures 2 vehicles, the cost per vehicle is $82,217. Write a quadratic function representing the cost per vehicle C in terms of the number of vehicles manufactured v. Give final answer in Quadratic Form (not Transformation Form). Show work. Function:
The table below shows data on the number of employees that a small company had from 1975 to 2000. Year 1975 1980 1985 1990 1995 2000 # of 50 65 70 60 55 44 Employees Let 0 represent the year 1975. Find a quadratic model for this function. .2 y = ax + bx + c Using the above equation, fill in the coefficients for a, b, and c rounding all decimals to the hundredths place.
The data in the table represents the number of new phone calls a company gets each week after opening. Week After Opening Number of Phone Calls 1 80 2 72 3 63 4 58 5 50 Based on a linear model, predict what week the company should expect 35 calls. Only type the whole number answer in the box. Do not type any words in the box.
The table below shows the results from a study that compared speed (in miles per hour) and average fuel economy (in miler per gallon) for cars. Find a quadratic model for the data. Fuel Speed Economy (mph) (mpg) 15 22.3 20 25.5 25 27.5 30 29.0 35 28.8 40 30 45 29.9 50 30.2 55 30.4 60 27.4 28.8 65 70 25.3 y = 25.836x+0.049 y = 13.472x2+0.746x- 0.008 y = -.008x? +0.746x + 13.472 y = 0.049x + 25.836

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