AnswersCR27 ALG 1-1200310-S2-Degele-VOL7006PIntroduction to Modeling with Functions

Regression Models Answers

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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
2
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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?

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.
3

Jessica plots the data points relating the amount of money she needs to repay a loan and the number of months she has been making payments. She calculates two regression models. Which is true?

Question illustration
A
The linear model better represents the situation because the amount she owes is decreasing by about the same amount every 6 months.
B
The linear model better represents the situation because according to the exponential model, the repayment amount will never be 0.
C
The exponential model better represents the situation because the amount she owes decreases by about the same amount every 6 months.
D
The exponential model better represents the situation because according to the linear model, the repayment amount will eventually be negative.
4

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
5

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.

Question illustration
A
1950
B
2005
C
2025
D
2050
6

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
7

The table shows the wavelength of the sound produced by keys on a piano x keys away from the A above middle C.

Question illustration
A
49.31 cm
B
49.44 cm
C
49.73 cm
D
49.78 cm
8

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
9

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
10

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

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