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.
Graph the function
over the domain
Caleb claims that the ordered pairs shown in the table shown are a nonlinear function.
State if Caleb is correct. Explain your reasoning.
Solve for x to the nearest tenth :
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.
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.
Solve the equation below algebraically for the exact value of x .
Is the product of the two numbers below rational or irrational?
Explain your reasoning.
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.
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.
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.
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.
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.
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.
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.
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.
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 .
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 .
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.
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.
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.
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.
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.