最新のApplied-Algebra学習資料 &合格スムーズApplied-Algebra受験対策書 |ハイパスレートのApplied-Algebra模擬試験問題集

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WGU Applied-Algebra Exam Syllabus Topics:

SectionObjectives
Topic 1: Validity of Models- Examine utility
- Determine fit
- Determine validity
Topic 2: Functions and Algebra of Functions- Derive conclusions based on data
- Derive conclusions based on graphs
- Derive conclusions based on notation
Topic 3: Linear Functions- Interpret inputs and outputs of linear functions
- Interpret rates of change for linear functions
Topic 4: Logistic Functions- Interpret inputs and outputs for logistic functions
- Interpret rates of change for logistic functions
- Interpret asymptotes for logistic functions
Topic 5: Polynomial Functions- Interpret concavity for polynomial functions
- Interpret inputs and outputs for polynomial functions
- Interpret rates of change for polynomial functions
Topic 6: Exponential Functions- Interpret inputs and outputs for exponential functions
- Interpret rates of change for exponential functions
- Interpret concavity for exponential functions
Topic 7: Graphical Depictions- Interpret concavity for situations
- Interpret rates of change for situations
- Interpret maximum and minimum for situations
- Interpret inputs and outputs for situations
- Interpret asymptotes for situations

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真実的な Applied-Algebra学習資料 & 保証するWGU Applied-Algebra 最高の試験の成功Applied-Algebra受験対策書

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WGU Applied Algebra FXO2 PFXP C957 認定 Applied-Algebra 試験問題 (Q31-Q36):

質問 # 31
The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.

Which town's population is growing at a faster rate?

正解:B

解説:
To decide which town is growing faster, compare the slopes of the two lines. In a linear population graph, the slope represents the growth rate, while the starting value represents the initial population. The graph shows that Town A has a slope of about 1.0 thousand people per year, while Town B has a slope of about 0.7 thousand people per year. Since 1.0 > 0.7, Town A is growing at a faster rate. The values 6.5 and 5.5 refer to population amounts, not growth rates, so they do not answer the question. The correct comparison must use the slopes. Therefore, the correct answer is D.


質問 # 32
The scatterplot shows data on the number of shirts sold at a gift shop per week over time. The graphed regression function has an r
2
value of 0.09.

Which range of x-values is appropriate for extrapolation?

正解:A

解説:
The r
2
value tells how closely the regression model fits the scatterplot data. In this problem, r
2
=0.09, which is extremely low. This means the regression model explains only a very small portion of the variation in the shirt-sales data. When r
2
is this weak, the model is not reliable for predictions outside the data range. Extrapolation is already less certain than interpolation because it predicts beyond the observed data. With such a poor fit, extending the model beyond the data would not be appropriate. Since 0.09 < 0.3, the best justification is that extrapolation is not appropriate because r
2
< 0.3. Therefore, the correct answer is C.


質問 # 33
The value of a collectible coin can be modeled by F(t), where t represents years since the number of years since the coin was found, and the vertical axis represents the value, in thousands of dollars.

How is the value of the coin changing over time based on the graph?

正解:A

解説:
The graph shows the value of the coin increasing over time. Since the curve rises from left to right, the value is not decreasing. The graph also becomes steeper as time increases, which means the rate of increase is getting larger. In Applied Algebra, when a graph is increasing and its slope is increasing, the quantity is described as increasing faster and faster. This is typical of exponential growth, where values grow by a repeated percent or factor rather than by a constant amount. The choices involving decreasing are incorrect because the graph moves upward. The choice "increasing slower and slower" would require the graph to flatten, which it does not. Therefore, the correct answer is B.


質問 # 34
The graph shows the daily practice duration for a musician, where the number of days since the beginning of the month is along the horizontal axis and the number of minutes practiced per day is along the vertical axis.

What was the practice duration for day 9, based on the graph?

正解:D

解説:
This question asks us to read and interpret a value from a graph.
The horizontal axis represents:
" Days since the beginning of the month "
The vertical axis represents:
" Practice duration in minutes "
We need to find the practice duration for:
" day " 9
To do this, locate 9on the horizontal axis, move upward to the blue graph, and then read the corresponding value on the vertical axis.
From the graph, the point at day 9is approximately:
127
So the musician practiced for:
127 " minutes "


質問 # 35
The number of property sales in a region this year is expected to be 9 more than the number of property sales in the region last year. The function H(x) represents the number of property sales this year, where x represents the number of properties sold last year.
Which notation represents the number of property sales this year, given that the number of properties sold last year was 140?

正解:B

解説:
This question asks for correct function notation. The input x represents the number of properties sold last year, and the output H(x) represents the expected number of property sales this year. Since this year's number is expected to be 9 more than last year's number, the function rule is H(x)=x+9. The problem states that 140 properties were sold last year, so the correct input is x=140. Substituting gives H(140)=140+9=149. This means that when last year's sales were 140, this year's expected sales are 149. The input must be inside the parentheses, and the output must follow the equals sign. Therefore, the correct answer is B.


質問 # 36
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