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| Section | Weight | Objectives |
|---|---|---|
| Systems of Equations and Inequalities | 15% | - Graphical solutions - Solving by substitution and elimination - Applications of systems |
| Graphing and Functions | 25% | - Slope and equations of lines - Coordinate plane and plotting points - Function notation and evaluation - Linear functions and their graphs |
| Algebraic Expressions and Operations | 20% | - Order of operations - Operations with polynomials - Simplifying and evaluating expressions - Variables, constants, and coefficients |
| Linear Equations and Inequalities | 25% | - Solving and graphing inequalities - Solving single-variable equations - Real-world applications |
| Exponents, Radicals, and Quadratic Relationships | 15% | - Solving quadratic equations - Properties of exponents - Basic quadratic graphs - Simplifying radical expressions |
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NEW QUESTION # 18
The graphed function n(t)represents the number of people, n, at a park thours after 8:00 a.m. The plotted points Aand Bhave coordinates (2#110)and (6#182).
Which statement gives the correct interpretation of the average rate of change of the number of people over the interval from point Ato point B?
Answer: B
Explanation:
The average rate of change measures how much the output changes per one unit of input.
Here:
t= " hours after 8:00 a.m. "
and
n(t)= " number of people at the park "
The two given points are:
A=(2,110)
and
B=(6,182)
This means:
At t=2hours after 8:00 a.m., there were 110people at the park.
At t=6hours after 8:00 a.m., there were 182people at the park.
Now calculate the average rate of change:
" Average rate of change " =(182-110)/(6-2)
=72/4
=18
Because the value is positive, the number of people is increasing.
So the correct interpretation is:
" The number of people at the park increases at an average rate of 18 people per hour. "
NEW QUESTION # 19
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: A
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 # 20
The figure shows the graph of p(t), which represents the number of people, p, at a gym thours after 7:00 a.m.
How should the concavity between t=1.3and t=3.4be interpreted?
Answer: A
Explanation:
The graph represents:
p(t)= " number of people at the gym "
where:
t= " hours after 7:00 a.m. "
The question asks about the concavity of the graph between:
t=1.3
and
t=3.4
On this interval, the graph is still going upward, so the number of people is increasing.
However, the graph is beginning to flatten as it approaches its highest point. That means the slope is positive, but the slope is getting smaller.
In other words:
" The number of people is increasing, but at a slower rate. "
This is called concave down behavior. For a concave down graph that is increasing, the correct interpretation is:
" increasing slower and slower "
Therefore, the correct answer is:
# ( " C " )
NEW QUESTION # 21
A researcher collected data on the traffic frequency on a section of road. The results are shown in the scatterplot. A regression function is graphed with r
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