Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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For nonlinear models (equations) the slope is constant.
Is this a True or False statement?
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- Flying twice as farA flight from Los Angeles to ABQ is about 2 hours but is 670.2 miles.A flight from San Jose to Chicago is 4 hours but is 1859.0 miles.Can anyone explain why the travel time from San Jose to Chicago is notlonger and closer to 5.75 hours?If the distance increase by 2, shouldnt the time increase by a factorof 2 as well?1. Write a linear model for this question. Takeoff and landing will take a fixed amount of time. Actualtravel in the air will take time proportional to the distance traveled. Think about which of thevariables (time and distance) is the independent variable, and identify the slope and intercept withtheir units.2. Use the data in the quotation to estimate the two constants in your linear model.arrow_forwardThe following linear regression model can be used to predict ticket sales at a popular water park. Ticket sales per hour = - 631.25 + 11.25(current temperature in °F)23) Choose the statement that best states the meaning of the slope in this context. A) The slope tells us that a one degree increase in temperature is associated with an average increase in ticket sales of 11.25 tickets. B) The slope tells us that high temperatures are causing more people to buy tickets to the water park. C) The slope tells us that if ticket sales are decreasing there must have been a drop in temperature. D) None of thesearrow_forwardThe Terre Haute Association of Realtors conducts a study to examine the association between the size of a home (in square feet) and the price the home sells for (in dollars). a regression model is then created to predict the price based on the size of the home and is given by the following equation: Price = - 43511+86.3(Size) a) Interpret the slope and intercept of the model in context using a complete sentence. b) Predict the selling price of a home with 2000 square feet. c) Suppose R2- 9225 Interpret its meaning in context using a complete sentence. d) Would it be better for a person to experience a positive or negative residual in this context? Please explain in a complete sentence.arrow_forward
- A clothing business finds there is a linear relationship between the number of shirts,n, it can sell and the price,p, it can charge per shirt. In particular, historical data shows that 6000 shirts can be sold at a price of $56, while 9000 shirts can be sold at a price of $35. Give a linear equation in the form p = mn + b that gives the price p they can charge for ʼn shirts. Answer: p= Round the value of your slope to three decimal places. Be careful to use the proper variable and use the Preview button to check your syntax before you submit your answer.arrow_forwardBased on data collected from various moving companies, a homeowner uses the linear model y=1.5x+150y=1.5x+150 to predict the total cost of renting a moving truck, yy, for xx minutes. If the homeowner rents a moving truck for 6060 minutes, which statement best describes the slope of the linear model?arrow_forwardA 1700-gallon tank is initially full of water. The water is drained at a rate of 16 gallons per minute. Write a linear equation, in slope-intercept form, that models this situation. (Note: "y =" is already given -- just enter the right side of the equation.) y = In the equation, the variable x represents which of the following? (Choose one) time elapsed while water drains (minutes) amount of water drained from the tank (gallons) rate at which water drains (gallons per minute) amount of water still in the tank (gallons) In the equation, the variable y represents which of the following? (Choose one) amount of water still in the tank (gallons) amount of water drained from the tank (gallons) time elapsed while water drains (minutes) O rate at which water drains (gallons per minute) How much water is in the tank after 18 minutes? gallonsarrow_forward
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