Answers FL-1200700-Mathematics for College Algebra MISSolving Quadratic Equations: Square Root Property

Regression Models Answers

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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.

1950

2005

2025

2050

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

49.31 cm

49.44 cm

49.73 cm

49.78 cm

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?

The linear model better represents the situation because the amount she owes is decreasing by about the same amount every 6 months.

The linear model better represents the situation because according to the exponential model, the repayment amount will never be 0.

The exponential model better represents the situation because the amount she owes decreases by about the same amount every 6 months.

The exponential model better represents the situation because according to the linear model, the repayment amount will eventually be negative.

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

interpolation, because a key that is 12 keys from middle C is within the data set

interpolation, because a key that is 12 keys from middle C is outside the data set

extrapolation, because a key that is 12 keys from middle C is within the data set

extrapolation, because a key that is 12 keys from middle C is outside the data set

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

y = 9,958(0.972)x

y = 0.972(9,958)x

y = 9,219x– 150

y = –150x + 9,219

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

exponential, because there is a relatively consistent multiplicative rate of change

exponential, because there is a relatively consistent additive rate of change

linear, because there is a relatively consistent multiplicative rate of change

linear, because there is a relatively consistent additive rate of change

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

y = –1.026x2 + 1016.402x – 162075

y = –1.036x2 + 1024.771x – 163710

y = 298.214x – 66317.667

y = 196.2x – 18710

Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online.

190

858

6,271

86,460

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?

The number of weeds is decreasing by a multiplicative rate.

The number of weeds is increasing by a multiplicative rate.

The number of weeds is decreasing by an additive rate.

The number of weeds is increasing by an additive rate.

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.

Company A: Using linear regression models from both data sets, she determines that it pays about $14 more.

Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more.

Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.

Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.

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