PART II: Answer the question in this part. Each correct answer will receive
2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. Not that diagrams are not necessarily drawn to scale. A correct numerical answer with no work shown will receive only
1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil.
2 points
2
Question 1
1.
Graph the function
over the domain
2 points
2
Question 2
2.
Caleb claims that the ordered pairs shown in the table shown are a nonlinear function.
State if Caleb is correct. Explain your reasoning.
2 points
2
Question 3
3.
Solve for x to the nearest tenth :
2 points
2
Question 4
4.
The graph of the function p(x) is represented on the accompanying graph. On the same set of axes, sketch the function p (x + 2) .
Describe the transformation that took place.
2 points
2
Question 5
5.
When an apple is dropped from a tower 256 feet high, the function h(t) = -16t2 + 256 models the height of the apple, in feet, after t seconds.
Determine, algebraically, the number of seconds it takes the apple to hit the ground.
2 points
2
Question 6
6.
Solve the equation below algebraically for the exact value of x .
2 points
2
Question 7
7.
Is the product of the two numbers below rational or irrational?
Explain your reasoning.
1 point
1
Question 8
8.
On the set of axes provided, graph the piecewise function:
PART III: Answer the question in this part. Each correct answer will receive
4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. Not that diagrams are not necessarily drawn to scale. A correct numerical answer with no work shown will receive only
1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil.
1 point
1
Question 9
9.
A population of rabbits in a lab, p(x),
can be modeled by the function
p(x) = 20(1.014)x ,
where x represents the number of
days since the population was first counted.
Explain what 20 represents
in the context of the problem.
1 point
1
Question 10
10.
A population of rabbits in a lab, p(x),
can be modeled by the function
p(x) = 20(1.014)x ,
where x represents the number of
days since the population was first counted.
Explain what 1.014 represents
in the context of the problem.
2 points
2
Question 11
11.
A population of rabbits in a lab, p(x),
can be modeled by the function
p(x) = 20(1.014)x ,
where x represents the number of
days since the population was first counted.
Determine, to the nearest tenth, the average rate of change from day 50 to day 100.
1 point
1
Question 12
12.
There are two parking garages in Beacon Falls. Garage A charges $7.00 to park for the first 2 hours, and each additional hour costs $3.00. Garage B charges $3.25 per hour to park.
When a person parks for at least 2 hours, write the equation to model the cost of parking for a total of x hours in Garage A.
1 point
1
Question 13
13.
There are two parking garages in Beacon Falls. Garage A charges $7.00 to park for the first 2 hours, and each additional hour costs $3.00. Garage B charges $3.25 per hour to park.
When a person parks for at least 2 hours, write the equation to model the cost of parking for a total of x hours in Garage B.
1 point
1
Question 14
14.
There are two parking garages in Beacon Falls. Garage A charges $7.00 to park for the first 2 hours, and each additional hour costs $3.00. Garage B charges $3.25 per hour to park.
Determine algebraically the number of hours when the cost of parking at both garages will be the same.
2 points
2
Question 15
15.
On the set of axes provided, graph the following system of inequalities:
Determine if the point (1, 2) is in the solution set.
Explain your answer.
2 points
2
Question 16
16.
The percentage of students scoring 85 or better on a mathematics final exam and an English final exam during a recent school year for seven schools is shown in the table.
Write the linear regression equation for these data, rounding all values to the nearest hundredth .
1 point
1
Question 17
17.
The percentage of students scoring 85 or better on a mathematics final exam and an English final exam during a recent school year for seven schools is shown in the table.
State the correlation coefficient of the linear regression equation, to the nearest hundredth .
1 point
1
Question 18
18.
The percentage of students scoring 85 or better on a mathematics final exam and an English final exam during a recent school year for seven schools is shown in the table.
State the correlation coefficient of the linear regression equation, to the nearest hundredth .
Explain the meaning of the correlation coefficient in the context of these data.
PART IV: Answer the question in this part. Each correct answer will receive
6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. Not that diagrams are not necessarily drawn to scale. A correct numerical answer with no work shown will receive only
1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil.
1 point
1
Question 19
19.
Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank.
If Dylan only collects dimes and quarters, write one of the two equations that could be used to model this situation.
1 point
1
Question 20
20.
Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank.
If Dylan only collects dimes and quarters, write the OTHER of the two equations that could be used to model this situation.
2 points
2
Question 21
21.
Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank.
Using your system of equations, algebraically determine the number of quarters Dylan has in his bank.
2 points
2
Question 22
22.
Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank.
Dylan's mom told him that she would replace each one of his dimes with a quarter. If he uses all of his coins, determine if Dylan would then have enough money to buy a game priced at $20.98 if he must also pay 8% sales tax. Justify your answer.
