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We have now studied models for linear, quadratic, exponential, and logistic growth. In the real world, understanding which is the most appropriate type of model for a given situation is an important skill. For each situation in Exercises 50-60, identify the most appropriate type of model and explain why you chose that model. List any restrictions you would place on the domain of the function.
The occupancy (number of apartments rented) of a newly opened apartment complex
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Calculus and Its Applications (11th Edition)
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- We have now studied models for linear, quadratic, exponential, and logistic growth. In the real world, understanding which is the most appropriate type of model for a given situation is an important skill. For the given situation, identify the most appropriate model and explain why you chose that model. List any restrictions you would place on the domain of the function. The drop and rise of a lake's water level during and after a drought Choose the correct answer below. -exponential model -logistic growth model -linear model -quadratic modelarrow_forwardThe price of a computer component is decreasing at a rate of 12% per year. State weather this decrease is linear or exponential. If the component cost 90$ today, what will it cost in three years?arrow_forwardFor each situation, indicate whether the appropriate model would be Linear or Exponential. Be prepared to give reasons. Choose carefully: you only get one attempt for each of these. (a) Rashida received a $5,000 bonus this year. She put the money in savings account. Each week, she spends 5% of the balance in the account on something special. Select an answer (b) Your Keurig machine will lose 20% of of its value every three years. Select an answer ✓ (c) Cameron adds $130 to his savings account every week when he gets paid. Select an answer ✓ (d) A dog groomer charges according to your dog's weight. If your dog is 18 pounds and under, the groomer charges $25. If your dog is over 18 pounds, they charge $25, plus an additional $4 for each pound over 18. Select an answer ✓ Use the "Add Work" button to explain your reasoning for each situation. Add Work Check Answerarrow_forward
- dates, fixes, and improvements, choose Check for Updates. Solve the following: #1: A city has been losing population. In the 1990 census it decreased by 15% from the 1980 census which showed that the city had 1.2 million people. If the percent of decline is expected to continue predict the population, create a table of values for the population in 1990, 2000, 2010 and 2020. What function would generate this table? Year 1990 2000 2010 2020 Population Pop = %3D #2: Another city showed the exact opposite, its population was increasing by 15%. If in 1980 it also had 1.2 million people create a table of values for the population in 1990,2000, 2010 and 2020. What function would generate this table?arrow_forwardThe number of hours of video uploaded to YouTube per minute is shown in the table below. Year # of hours of video uploaded per minute 2007 6 2008 10 2009 20 2010 24 2011 48 2012 60 2013 100 Let y be the video upload rate at x years since 2005. Construct a scatterplot by hand. Is the relationship linear or exponential? Increasing or decreasing? Write an equation modeling the number of hours of video uploaded per minute if the initial number of hours is 2.6 and it increases by 59%. Use your equation to find the number of hours uploaded in 2015.arrow_forwardThe table shows the number of used textbooks sold each year on an online bookstore. Which model would best fit this data: cubic, quartic, or exponential? Year Books Sold (thousands) 2008 1 2009 6.2 2010 9.7 2011 12.1 2012 13.3arrow_forward
- write a linear equation for this: "Baden, the health authority's chief financial officer stood by the veracity of that initial timeline Wednesday. He said state officials were hoping to see 200,000 to 250,000 first doses administered per week."arrow_forwardplease answer the question in the attached picture with work shown, thanks! #2 A,Barrow_forwardWP1: One end of a Bungee is tied to a bridge that is 120 feet above water. The other end of the Bungee is tied via padded ankle straps to a jumper's ankle. The jumper jumps and the Bungee cord extends like a rubber band and the jumper bounces up and down until coming to a halt. The Bungee cord elongation 150% of its length, meaning that the Bungee cord extended length Will be its original length plus 1.5 times of its original length. Knowing that that the jumper's height is not more 7 feet, what should the original length of the Bungee cord be to assure that the jumper under any condition stays at least 10 feet above water? Solution: Let consider the following bridge of 120 height above water.arrow_forward
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