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You have just graduated from college and purchased a car for $8000. Your credit limit is $20,000. Assume that you make no payments and purchase nothing more and that there are no other fees. The monthly interest rate is 12%. Find the y-intercept for the exponential function which represents how much you will owe (represented by y) after x months with no more purchases or payments.a.(0, 20,000)c.(0, 8000)b.(8000, 0)d.(20,000, 0)

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The table of values below represent an exponential function. Write an exponential equation that models the data. x y -2 26 -1 18.2 0 12.74 1 8.918 2 6.2426 a. c. b. d. Please select the best answer from the choices provided

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In 1985, there were 285 cell phone subscribers in the small town of Glenwood. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Glenwood in 1990?Years1986 (x = 1)1987 (x = 2)1988 (x = 3)Number of cell phone users4988721527a.1800c.2672b.4677d.8186

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The table of values below represent an exponential function. Write an exponential equation that models the data. x y -2 22 -1 15.4 0 10.78 1 7.546 2 5.2822 a. c. b. d. Please select the best answer from the choices provided

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Review the table of values.xy1104553.572101.5

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power model; y = 10.15x–0.68
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exponential model; y = 12.80(0.78)x
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logarithmic model; y = 9.98 – 3.85 ln x
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quadratic model; y = 0.13x2 – 2.38x + 12.27
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The table shows a company’s profit based on the number of pounds of food produced.

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$5,150
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$5,300
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$10,150
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$11,000
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Each year the Miller county country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated. Rounds1234Number of players left6432168What is the decay rate?a.0.50c.16b.1d.1.1

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The quadratic regression equation y = –0.1x2 + 143.99x – 13,242.84 models expected company profits in terms of the number of pairs of shoes sold.Based on the regression equation, approximately how much profit can the company expect if it sells 400 pairs of shoes?

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$28,400
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$41,600
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$44,300
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$60,400
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The graph shows the exponential regression model for data representing a rabbit population after x years.

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The graph of the regression model is limited to whole-number values for x.
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The graph of the regression model is limited to whole-number values for y.
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The graph of the regression model cannot be used to approximate the population size for year 1.
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The graph of the regression model can be used to predict the population size for any number of years in the future.
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Review the table of values showing the mass of a radioactive isotope over time.Time (Seconds)Mass Remaining (Milligrams)2134856.5102121.2

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In the logarithmic regression model, the explanatory variable is time and the response variable is the remaining mass.
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In the logarithmic regression model, the explanatory variable is the remaining mass and the response variable is time.
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In the exponential regression model, the explanatory variable is time and the response variable is the remaining mass.
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In the exponential regression model, the explanatory variable is the remaining mass and the response variable is time.
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Review the table showing the population of a city.Years since 2000Population (Thousands of People)211.2312.5513.4615.6722.0924.61225.11626.0

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a = 27.47, b = 3.26, and c = 0.30
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a = 3.26, b = 0.30, and c = 27.47
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a = –0.09, b = 4.53, and c = 2.81
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a = –0.09, b = 2.81, and c = 4.53
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The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. The exponential regression equation was found to be where x represents the number of years since 2000. Use the regression equation to predict the number of VHS movie rentals in 2011. Year 2000 2001 2002 2003 2004 2005 2006 VHS Rentals (in millions) 10.5 7.9 6.2 5.3 4.2 3.8 3.1 a. 0 c. 88.45 b. 0.11 d. 1.12 Please select the best answer from the choices provided

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The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table.

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–2.75
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0.25
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1.75
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2.25
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The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

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3.2 feet
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4.8 feet
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5.6 feet
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6.8 feet
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Given the following equation of an exponential function determine the base, b, of the exponential model. Is the base a growth or decay factor? a. b is 0.535; It is a growth factor. b. b is 0.535; It is a decay factor. c. b is 10.5; It is a growth factor. d. b is 10.5; It is a decay factor. Please select the best answer from the choices provided

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