AnswersFL-1200330-Algebra 2 AModeling with Functions

Regression Models Answers

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The graph shows the data points in the table and the exponential regression model associated with the data. Based on the graph of the regression model, which is true?

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A
The number of weeds is decreasing by a multiplicative rate.
B
The number of weeds is increasing by a multiplicative rate.
C
The number of weeds is decreasing by an additive rate.
D
The number of weeds is increasing by an additive rate.
2
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Janna is making a prediction of the frequency of a key that is 12 keys from middle C.

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A
interpolation, because a key that is 12 keys from middle C is within the data set
B
interpolation, because a key that is 12 keys from middle C is outside the data set
C
extrapolation, because a key that is 12 keys from middle C is within the data set
D
extrapolation, because a key that is 12 keys from middle C is outside the data set
3

The table shows the relationship between time spent running and distance traveled.

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A
linear, because the r value for the linear model is closest to 1
B
exponential, because the r value for the exponential model is closest to 0
C
linear, because the rate of change between each pair of points is exactly 520
D
exponential, because the rate of change between each pair of points is 1.98
4

The table shows the population of a small town over time. The function P = 10,550(1.1)x models the population x years after the year 2000.

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A
1950
B
2005
C
2025
D
2050
5

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
6

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
7

The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.

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A
y = 9,958(0.972)x
B
y = 0.972(9,958)x
C
y = 9,219x– 150
D
y = –150x + 9,219
8

Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is labeled earnings (dollar sign) with entries 340, 404, 460, 530, 630. Company B: A 2-column table with 5 rows. The first column is labeled hours with entries 4, 9, 20, 32, 39. The second column is labeled earnings (dollar sign) with entries 125, 234, 450, 668, 828.

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A
Company A: Using linear regression models from both data sets, she determines that it pays about $14 more.
B
Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more.
C
Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.
D
Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.
9

The data in the table compares x, the number of pages in a chapter, to y, the amount of time, in minutes, spent reading. The function y = 0.86x – 0.09 models the data in the table.

Question illustration
A
15
B
17
C
19
D
21
10

The quadratic regression graphed on the coordinate grid represents the height of a road surface x meters from the center of the road.

Question illustration
A
The height of the surface decreases from the center out to the sides of the road.
B
The height of the surface increases, then decreases, from the center out to the sides of the road.
C
The height of the surface increases from the center out to the sides of the road.
D
The height of the surface remains the same the entire distance across the road.

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