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| Section | Objectives |
|---|---|
| Logistic Functions | - Interpret asymptotes for logistic functions - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions |
| Validity of Models | - Examine utility - Determine validity - Determine fit |
| Graphical Depictions | - Interpret maximum and minimum for situations - Interpret inputs and outputs for situations - Interpret asymptotes for situations - Interpret rates of change for situations - Interpret concavity for situations |
| Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Functions and Algebra of Functions | - Derive conclusions based on graphs - Derive conclusions based on data - Derive conclusions based on notation |
| Exponential Functions | - Interpret inputs and outputs for exponential functions - Interpret concavity for exponential functions - Interpret rates of change for exponential functions |
| Polynomial Functions | - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions |
>> Applied-Algebra Praxisprüfung <<
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74. Frage
The graph shows the number of customers visiting a bookstore, where the number of days since the beginning of the month is along the horizontal axis and the number of customers visiting the bookstore each day is along the vertical axis. More customers show up to the store on days when new releases are featured than on other days.
Which days likely featured new releases?
Antwort: D
Begründung:
The graph shows customer visits by day.
To determine which days likely featured new releases, we should look for the days with unusually high customer counts.
From the graph:
Day 8 has about 40customers.
Day 11 also has about 40customers.
These are the highest values shown on the graph.
Since the problem says more customers show up on days when new releases are featured, the days with the highest customer counts are the most likely new-release days.
Therefore, the correct answer is:
# ( " D " )
75. Frage
The population of fish in a lake is changing according to the function P(t)=31t+438, where t is the number of months since the beginning of the year and P(t) is the fish population at time t. Which interpretation of the rate of change is correct?
Antwort: B
Begründung:
The function P(t)=31t+438 is linear and follows the form P(t)=mt+b. In this form, m is the rate of change and b is the initial value. Here, the coefficient of t is 31, so the fish population changes by 31 fish per month.
Because 31 is positive, the population is increasing rather than decreasing. The number 438 is the initial fish population at the start of the year, not the rate of change. Therefore, the correct interpretation is that the number of fish in the lake is increasing at a constant rate of 31 fish per month. That matches option A.
76. Frage
The number of property sales in a region this year is expected to be 8 times the number of property sales in the region last year. The function H(x)represents the number of property sales this year, where xrepresents 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 360?
Antwort: B
Begründung:
We are told that the number of property sales this year is expected to be 8 times the number of property sales last year.
Let:
x= " number of properties sold last year "
and
H(x)= " number of property sales this year "
Since this year's sales are 8 times last year's sales, the function rule is:
H(x)=8x
The question says that last year's property sales were:
x=360
Substitute 360into the function:
H(360)=8(360)
H(360)=2,880
So the correct notation is:
H(360)=2,880
This means: if 360 properties were sold last year, then 2,880 property sales are expected this year.
Therefore, the correct answer is:
# ( " C " )
77. Frage
The values, in dollars, of two accounts over time are modeled by
A_1 (t)=6,500× # 1.05 #