Answers26-27 CFISD Algebra II B CRRegression Models

Regression Models Answers

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Juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f(x)=10(0.98)x to represent the amount of radioactive material that will remain after x hours in the container.Rounded to the nearest tenth, how much radioactive material will remain after 10 hours?

A
0.8 units
B
1.3 units
C
8.2 units
D
9.8 units
2
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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
3

Janna is making a prediction of the frequency of a key that is 12 keys from middle C.

Question illustration
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
4

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.

Question illustration
A
0
B
100
C
300
D
400
5

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?

Question illustration
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.
6

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

Question illustration
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
7

The data in the table represents a company’s profit based on the number of items produced.

Question illustration
A
y = –1.026x2 + 1016.402x – 162075
B
y = –1.036x2 + 1024.771x – 163710
C
y = 298.214x – 66317.667
D
y = 196.2x – 18710
8

The table represents the temperature of a cup of coffee over time.

Question illustration
A
exponential, because there is a relatively consistent multiplicative rate of change
B
exponential, because there is a relatively consistent additive rate of change
C
linear, because there is a relatively consistent multiplicative rate of change
D
linear, because there is a relatively consistent additive rate of change
9

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

Question illustration
A
$8,910
B
$8,980
C
$13,660
D
$16,040
10

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

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