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| Section | Objectives |
|---|---|
| Topic 1: Functions and Algebra of Functions | - Derive conclusions based on notation - Derive conclusions based on graphs - Derive conclusions based on data |
| Topic 2: Logistic Functions | - Interpret rates of change for logistic functions - Interpret asymptotes for logistic functions - Interpret inputs and outputs for logistic functions |
| Topic 3: Graphical Depictions | - Interpret maximum and minimum for situations - Interpret concavity for situations - Interpret asymptotes for situations - Interpret rates of change for situations - Interpret inputs and outputs for situations |
| Topic 4: Validity of Models | - Determine fit - Determine validity - Examine utility |
| Topic 5: Exponential Functions | - Interpret concavity for exponential functions - Interpret inputs and outputs for exponential functions - Interpret rates of change for exponential functions |
| Topic 6: Linear Functions | - Interpret inputs and outputs of linear functions - Interpret rates of change for linear functions |
| Topic 7: Polynomial Functions | - Interpret rates of change for polynomial functions - Interpret inputs and outputs for polynomial functions - Interpret concavity for polynomial functions |
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NEW QUESTION # 78
The graph shows the progress of a manufacturing team, modeling the number of widgets the team is able to produce each day since the team was formed.
How should the average rate of change from day 20 to day 26 be interpreted?
Answer: A
Explanation:
The average rate of change compares the change in output to the change in input over an interval. From the graph, the two labeled points are approximately (20,58.5) and (26,91.2). The input is days, and the output is widgets produced each day. Use the formula x
2
#x
1
y
2
#y
1
Substituting gives
26#20
91.2#58.5
=
6
32.7
=5.45, which rounds to approximately 5.5. Since this value is an average rate, it means the team's daily production increased by about 5.5 widgets each day during the interval. It is not the total number of additional widgets over the whole interval. Therefore, the correct answer is A.
NEW QUESTION # 79
The graph shows the total cost of a lumber delivery based on the number of identical boards ordered.
What is the cost of each additional board?
Answer: B
Explanation:
The graph shows a linear relationship between:
" Number of boards "
and
" Total cost "
The cost of each additional board is the rate of change, or slope, of the line.
From the graph, two labeled points are:
(0#27)
and
(10#177)
This means:
When 0 boards are ordered, the total cost is $27.
When 10 boards are ordered, the total cost is $177.
Now calculate the slope:
m=(177-27)/(10-0)
m=150/10
m=15
So each additional board costs:
$15
Therefore, the correct answer is:
# ( " B " )
NEW QUESTION # 80
The values, in dollars, of two accounts over time are modeled by
A_1 (t)=6,500× # 1.05 #