Situation:An online retail company tracked total number of purchases monthly. In February 2007 they were 4,380purchases and in August 2008 there were 4,020.The purchases followed a linear model of the form p = S(t) = rt + i where p purchases is in 1000'sand this months where January 2007-0A.Sales are Select an answer at a constant rate ofthe correct unitsB. Write out the linear model function with the parameter values `p=S(t)=out the linear model functionNow answer the following questions using this modelC. What does the model predict total purchases will be in October 2010?Select an answer ✓pick**0.000000000000D. In what month and year does the model predict sales will be 3,400? Select an answer

Answered: Image /qna-images/answer/43b0f6e8-6d01-4d65-8593-23edfebe399f.jpg

Answered: Situation: An online retail company…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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mile due west of a street intersection. Another car is located 8. mile 4. A police car is at rest and is located north of the intersection and is traveling at a speed of 40 miles per hour (mph) due south toward the intersection. At that instant, the radar in the police car records the rate at which the distance between the two cars is changing. What speed is recorded by the radar? 35.8 mph 38.8 mph 41.2 mph 44.2 mph 53.7 mph 0 0
A company buys a new bulldozer for $92050. The company depreciates the bulldozer linearly over its useful life of 17 years. Its salvage value at the end of 17 years is $12150. Depreciation is the decrease or loss in value of the equipment due to age, wear, or market conditions. Express the value of the bulldozer, V, in terms of how many years old it is, t. V=______________ The value of the bulldozer after 5 years is $______________
Crude Oil The U.S. crude oil production, in billionsof barrels, was 1.94 in the year 2010 and is projectedto be 2.26 in 2030.a. Find the projected average rate of change inproduction from 2010 through 2030.b. Use the rate of change from part (a) and the pointcorresponding to 2010 to write the equation of theline that joins the points (2010, 1.94) and (2030,2.26), with x equal to the year 2010 and y equal tothe number of billions of barrels of crude oil.(Source: U.S. Energy Information Administration)
Employment. According to the U.S. Bureau of Labor Statistics, the number of professional services employees fluctuated during the period 2000-2009, as modeled by E(t) = -28.31t³ +381.86t² - 1162.07t + 16,905.87, where t is the number of years since 2000 (t = 0 corresponds to 2000) and E is thousands of employees. (Source: www.data.bls.gov.) Find the relative extrema of this function, and sketch the graph. Interpret the meaning of the relative extrema.
The gestation period of rabbits is about 29 to 35 days. Therefore the population of a form can increase dramatically in a short period of time. The table gives a population of a form we're tea is the time in months and then is the rabbit population.
How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). x 3 6 12 20 26 y 60 95 140 160 189 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? low moderate strong Would you say the correlation is positive or negative? positive negative (c) Use a calculator to verify that x = 67, x2 = 1265, y = 644, y2 = 93,546, and xy = 10,544. Compute r. (Round your answer to three decimal places.) As x increases from 3 to 26 months, does the value of r imply that y should tend to increase or decrease? Explain your answer. Given our value of r, y should…
Let �(�) be the height of a maple tree in inches and � the number of years since 2000. A linear model for the data is �(�)=9.44�+84.182.36912155060708090100110120130140150160170180190200210220A) To the nearest inch, estimate the height of the maple tree in 2012. inchesB) Use the equation to find the year in which the tree will be 249 inches tall.
Some pedometers have a default setting that assumes that the number of steps a person must take to walk 1 mile decreases by 32 steps per 1 inch increase in height. Suppose a person 72 inches tall makes 2,250 steps per mile. Find a linear model of the number of steps S per mile as a function of height h (in inches). S = Use the model to predict the number of steps per mile a person who is 64 inches tall will take. steps per mile
In the summer, a certain lake’s water temperature is known to increase linearly with time. On June 1, the water temperature is measured at 40°F, and on July 1, it is 55°F. Which of the following represents the water temperature of the lake on July 31? a. 70°Fb. 65°Fc. 60°Fd. 75°Fe. 68°Ff. 72°F
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