The total revenue generated billions of dollars) can be approximated by y = 40.8

Question

The total revenue generated billions of dollars) can be approximated by y = 40.89x + 405.3. where x = 1 corresponds to the year 2001. (Data from: U.S. Centers for Medicare and Medicaid Services.) (a) What was the approximate revenue generated from hospital stays in 2010? (b) Assuming the model remains accurate, in what year will revenue be approximately $1 trillion? The number of employees (in thousands) working Business in the motion picture and sound recording industries can be approximated by y =-1.8x + 384.6, where x = 0 corresponds to the year 2000, (Data from: US. Bureau of Labor Statistics.) (a) What was the number of employees in the year 2000? (b) What was the number of employees in the year 2010? (c) Assuming the model remains accurate, in what year will the number of employees be 350,000? The number of golf facilities in the United States has been declining and can be approximated with the equation y =-42.1x + 16,288, where x = 5 corresponds to the year 2005, (Data from National Golf Association.) (a) How many golf facilities were there in 2010? (b) If the trend continues to hold, in what year will there be 15,500 golf facilities? In the United States, total sales related to lawn care were approximately $35.1 billion in 2005 and $29.7 billion in 2011. (Data from: The National Gardening Association.) (a) Let the x-axis denote time and the y-axis denote the sales related to lawn care (in billions of dollars)

Explanation / Answer

69:

a)

The predicted value of y for x=0 is

y = -1.8x+ 384.6 = -1.8 * 0 + 384.6 = 384.6

Answer:

The number of employees was in year 2000 is = 384.6 *1000 = 384,600

b)

For year 2010 , x=10 so the predicted value of y for x=0 is

y = -1.8x+ 384.6 = -1.8 * 10 + 384.6 =366.6

Answer:

The number of employees was in year 2000 is = 366.6 *1000 = 366,600

c)

For y = 350, the value of x is

350 = -1.8x+ 384.6

350 - 384.6 = -1.8x

-34.6 = -1.8x

x = 19.22

That is required year is 2019.

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