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The exponential regression equation y = 307.60(1.11)x models the dollar value of a retirement fund after x years.Which is the best estimate for the value of the retirement fund after 6 years, if no additional deposits or withdrawals are made?

A
$310
B
$580
C
$1,880
D
$2,050
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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. Decide which scatterplot is representative of the data and determine if the data would be better modeled by a linear model or by an exponential model. Year 2000 2001 2002 2003 2004 2005 2006 VHS Rentals (in millions) 10.5 8.1 6.3 5.5 4.1 3.8 3.1 Graph A Graph B a. Graph A, Exponential c. Graph B, Exponential b. Graph A, Linear d. Graph B, Linear Please select the best answer from the choices provided

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A
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D
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The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day.

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A
Each point in the data set falls on the regression line.
B
The regression model is an accurate representation of the distance for any number of hours hiked.
C
Each point in the data set is near the regression line.
D
The regression model is inaccurate, as it does not begin at (0, 0).
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The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

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A
y = 47(1.191)x
B
y = 34(1.204)x
C
y = 26.9x – 1.3
D
y = 27x – 4
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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 movies in 2011. Year 2000 2001 2002 2003 2004 2005 2006 VHS Rentals (in millions) 10.5 8.1 6.4 5.2 4.5 3.8 3.1 a. 1.13 c. 0.929 b. 1.37 d. 3.7 Please select the best answer from the choices provided

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A
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B
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C
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D
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Review the table showing the height of a drooping rope in terms of horizontal distance from its left end.Horizontal Distance (ft)Height (ft)030.52.512.252232.253.52.543

A
a = 0.248, b = 0.994, c = 2.979
B
a = 2.979, b = 0.994, c = 0.248
C
a = 0.248, b = –0.994, c = 2.979
D
a = 2.979, b = –0.994, c = 0.248
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The table of values below represent an exponential function. Write an exponential equation that models the data. x y -2 24 -1 16.8 0 11.76 1 8.232 2 5.7624 a. c. b. d. Please select the best answer from the choices provided

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A
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D
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The population of a city, y, in thousands of people, measured x years after 1800 can be modeled by the regression equation y = . Which statement best interprets a value in the equation?

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A
The city population in 1800 was 187,600 people.
B
The city population grows by 29,400 people per year.
C
The limiting value of the city population is 29,400 people.
D
The limiting value of the city population is 187,600 people.
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Review the table showing the height of water in a pier.Time (Hours)Height (Feet)1142.5164.5185.5197.518101615162018.6

A
y =
Option A
B
y = 15.2 + 0.98 ln x
C
y = –0.01x2 + 0.3x + 15.4
D
y = –2.4 sin(–0.5x + 20.4) + 16.5
10

Scientists studied a deer population for 10 years. They generated the function f(x) = 248(1.15)x to approximate the number of deer in the population x years after beginning the study. About how many deer are in the population 3 years after beginning the study?

A
251
B
377
C
856
D
1,003
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Georgianna wants to use the linear model associated with the data in the table to make a prediction.

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A
0 to 5 minutes
B
0 to 18 minutes
C
0 to 30 minutes
D
18 to 30 minutes
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When working with scatterplots and the dots line up on a graph, but more in a curvy line, this would be an example of which model?a.linear modelc.outlier modelb.quadratic or exponential modeld.no correlation model

A
A
B
B
C
C
D
D
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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. Rounds 1 2 3 4 Number of players left 64 32 16 8 Write an exponential equation that models the data provided in the table. a. c. b. d. Please select the best answer from the choices provided

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A
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D
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The regression equation y = 8.6sin(0.24x – 1.88) + 62.8 models the Fahrenheit temperature in a room x hours after midnight. What is the maximum temperature in the room during the first 24 hours?

A
54.2°F
B
57.0°F
C
62.8°F
D
71.4°F
15

A science class conducts an experiment using a falling object. The class determines that a quadratic regression equation y = –15.9x2 + 99.2 will model the height, in feet, of the object after x seconds. Based on this model, what is the approximate height of the object after 1.5 seconds?

A
51.5 ft
B
63.4 ft
C
83.3 ft
D
85.6 ft
16

How is the data represented on a scatterplot that depicts an exponential model?a.points on a linec.points on a horizontal lineb.random pointsd.points on a curvy line

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A
B
B
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C
D
D
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The function f(t) = 349.2(0.98)t models the relationship between t, the time an oven spends cooling and the temperature of the oven.

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A
0
B
100
C
300
D
400
18

Review the table showing average monthly temperatures in degrees Fahrenheit for several months, where x = 1 represents January.MonthAverage Monthly Temperature (°F)1583604646687708739711255

A
y = 7.57 sin(0.55x + 0.68) + 64.40
B
y = 7.57 sin(0.68x + 0.55) + 64.40
C
y = 7.57 sin(–0.55x – 0.68) + 64.40
D
y = 7.57 sin(–0.68x – 0.55) + 64.40
19

The table shows the value of an account x years after the account was opened.

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A
$8,910
B
$8,980
C
$13,660
D
$16,040
20

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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A
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D

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