WGU C957 COMPREHENSIVE STUDY GUIDE
FULL QUESTIONS AND SOLUTIONS
◍ For the years since a department store has been open, its annual revenue, R,
(in millions of dollars) can be modeled by the function graphed below,
where t is the number of years since the store opened.How should the
maximum revenue be interpreted?.
Answer: About 6 years after the department store opened, the store earned a
maximum revenue of about $1,600,000.00.
◍ The population of the United States in millions of people can be estimated
with the function P(t) = 282(1.01)t, where t = 0 represents the population, P,
in the year 2000, and t is measured in years.What does P(–2) represent?.
Answer: P(–2) represents the population in 1998, which was approximately
276 million people.
◍ coefficient of determination.
Answer: A statistic that measures how well a regression prediction
approximates the real data points. An r^2 of 1 indicates that the regression
prediction is a perfect fit for the data
◍ linear function.
Answer: will always form a straight line; concavity will never change;
degree of 1
◍ The cost to mail a package that weighs z ounces is given by the function
C(z)=$2.50+0.08z. How much would it cost to mail a package that weighs
14 ounces?A. $13.24 B. $14.20 C. $2.58 D. $3.62.
Answer: D
◍ concave down.
, Answer: increasing slower and slowerdecreasing faster and faster
◍ What is an example of a logistic function model subject?.
Answer: Populations
◍ SOME-V Mnemonic.
Answer: S-sample sizeO-outliersM-model choice and
strengthE-extrapolationV- validity
◍ inflection point.
Answer: The point on a curve at which the curves concavity changes; also
called the point of inflection
◍ exponential function.
Answer: a function of the form f(x) = ab^x, where a and b are real numbers
with a ≠ 0, b>0, and b ≠ 1
◍ The profit for a manufacturer of a certain product is given by the function
P(x) = –4x3 + 12x2 + 16x, where P is the total profit (in thousands of
dollars) for x items produced (in thousands). What is the average rate of
change from x = 4 to x = 8?.
Answer: Profit decreases by $288,000 per 1,000 items produced.
◍ extrapolation.
Answer: the act of estimation by projecting known information
◍ Extrapolation of strong model correlation.
Answer: 50% of x values up or down
◍ Asymptote.
Answer: a horizontal, vertical, or slanted line that a graph approaches but
never touches
◍ A factory with an assembly line produces automobiles and is limited by the
capacity of its assembly line. The model follows the function below, where
A is the number of automobiles produced per week, and w is the number of
workers at a given time.What happens as additional workers between 10
workers and 40 workers are added?.
FULL QUESTIONS AND SOLUTIONS
◍ For the years since a department store has been open, its annual revenue, R,
(in millions of dollars) can be modeled by the function graphed below,
where t is the number of years since the store opened.How should the
maximum revenue be interpreted?.
Answer: About 6 years after the department store opened, the store earned a
maximum revenue of about $1,600,000.00.
◍ The population of the United States in millions of people can be estimated
with the function P(t) = 282(1.01)t, where t = 0 represents the population, P,
in the year 2000, and t is measured in years.What does P(–2) represent?.
Answer: P(–2) represents the population in 1998, which was approximately
276 million people.
◍ coefficient of determination.
Answer: A statistic that measures how well a regression prediction
approximates the real data points. An r^2 of 1 indicates that the regression
prediction is a perfect fit for the data
◍ linear function.
Answer: will always form a straight line; concavity will never change;
degree of 1
◍ The cost to mail a package that weighs z ounces is given by the function
C(z)=$2.50+0.08z. How much would it cost to mail a package that weighs
14 ounces?A. $13.24 B. $14.20 C. $2.58 D. $3.62.
Answer: D
◍ concave down.
, Answer: increasing slower and slowerdecreasing faster and faster
◍ What is an example of a logistic function model subject?.
Answer: Populations
◍ SOME-V Mnemonic.
Answer: S-sample sizeO-outliersM-model choice and
strengthE-extrapolationV- validity
◍ inflection point.
Answer: The point on a curve at which the curves concavity changes; also
called the point of inflection
◍ exponential function.
Answer: a function of the form f(x) = ab^x, where a and b are real numbers
with a ≠ 0, b>0, and b ≠ 1
◍ The profit for a manufacturer of a certain product is given by the function
P(x) = –4x3 + 12x2 + 16x, where P is the total profit (in thousands of
dollars) for x items produced (in thousands). What is the average rate of
change from x = 4 to x = 8?.
Answer: Profit decreases by $288,000 per 1,000 items produced.
◍ extrapolation.
Answer: the act of estimation by projecting known information
◍ Extrapolation of strong model correlation.
Answer: 50% of x values up or down
◍ Asymptote.
Answer: a horizontal, vertical, or slanted line that a graph approaches but
never touches
◍ A factory with an assembly line produces automobiles and is limited by the
capacity of its assembly line. The model follows the function below, where
A is the number of automobiles produced per week, and w is the number of
workers at a given time.What happens as additional workers between 10
workers and 40 workers are added?.
