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Case study

Lights, Candles, Action!

Your friend Abbie is making a movie. She is filming a fancy dinner scene and she has two types of candles on the table. She wants to determine how long the candles will last.

She takes a picture, lights the candles, and then lets them burn for 1 hour. She then takes a second picture. You can assume that each candle burns at its won constant rate.

Candle Type A initial height = 20 cm

Candle Type B initial height = 10 cm Candle Type A height after burning for 1 hour = 16 cm Candle Type B height after burning for 1 hour = 9 cm

You will use this information to help Abbie think about the candles she might use for her film.

Abbie has 3 hours left to film. She lights a new Candle Type A and Candle Type B and then starts filming.

In the 3 hours she has left, will Abbie capture the moment when the candles are exactly the same height?

Explain to Abbie how you can determine the answer.

A.

See explanation below.

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A student is writing a report for history class about the importance of the Magna Carta. Read the draft of the report and complete the task that follows.

When we think of the most important government documents in history, we often think first of the U.S. Constitution or the Declaration of Independence. While the importance of these documents can hardly be overestimated, it is all too easy to forget that without the Magna Carta neither of them would have been possible. The Magna Carta was a landmark government document that played a key role in the development of modern democracy. The effects of this critical piece of legislation are still felt today,

The roots of the Magna Carta were tied to the reign of King John, who took control of the English throne in 1199. Almost from the moment he became king, John ruled forcefully over his people, imposing harsh laws and severely punishing anyone who dared not to follow them. He was also focused on becoming even more powerful than he already was and repeatedly declared war on France to widen his kingdom. In need of money to fund his wars, King John required his nobles to pay large fees if they chose not to fight on his behalf.

Eventually, King John's constant abuses of power became too much for the nobles to bear. In 1213, they began a rebellion against the king, and, by 1215, England was on the brink of civil war. Realizing he had no other choice, King John met with his nobles on June 15, 1215, and agreed to sign a document that placed limitations on his power and gave the nobles certain guaranteed rights. First called the Articles of the Barons, the document soon became known as the Magna Carta. Though the Magna Carta did not end the conflict between King John and the nobles, it ultimately remained in place after being revised several times.

The rights guaranteed by the Magna Carta came in time to have a significant effect on England's system of government. Most importantly, it helped to establish a fair legal system that granted everyone the right to due process of the law. It also led to the formation of a legislative body that became known as Parliament. Centuries after it was first written, the Magna Carta's influence was again felt when the United States of America was founded. The abuses of power listed in the Declaration of Independence echo the claims made against King John by his nobles. When the framers wrote the U.S. Constitution, they looked to the Magna Carta to outline the rights of citizens and design the new country's legal system.

Write a conclusion that follows logically from the information in the essay.

A.

See explanation below.

Read the text attached.

"Declaration of Conscience" by Margaret Chase Smith June 1, 1950

Mr. President, I would like to speak briefly and simply about a serious national condition. It is a national feeling of fear and frustration that could result in national suicide and the end of everything that we Americans hold dear. It is a condition

that comes from the lack of effective leadership either in the legislative branch or the executive branch of our government...

...I speak as a Republican. I speak as a woman. I speak as a United States senator. I speak as an American...

...I think that it is high time for the United States Senate and its members to do some real soul searching and to weigh our consciences as to the manner in which we are performing our duty to the people of America and the manner in which

we are using or abusing our individual powers and privileges.

I think that it is high time that we remembered that we have sworn to uphold and defend the Constitution. I think that it is high time that we remembered that the Constitution, as amended, speaks not only of the freedom of speech, but also of

trial by jury instead of trial by accusation.

Whether it is a criminal prosecution in court or a character prosecution in the Senate, there is little practical distinction when the life of a person has been ruined.

"The Basic Principles of Americanism"

Those of use who shout the loudest about Americanism in making character assassinations are all too frequently those who, by our own words and acts, ignore some of the basic principles of Americanism ?

The right to criticize.

The right to hold unpopular beliefs.

The right to protest.

The right of independent thought.

The exercise of these rights should not cost one single American citizen his reputation or his right to a livelihood nor should he be in danger of losing his reputation or livelihood merely because he happens to know someone who holds

unpopular beliefs. Who of us does not? Otherwise none of us could call our souls our own. Otherwise thought control would have set in.

The American people are sick and tired of being afraid to speak their minds lest they be politically smeared as "Communists" or "Fascists" by their opponents. Freedom of speech is not what it used to be in America. It has been so abused by

some that it is not exercised by others.

The American people are sick and tired of seeing innocent people smeared and guilty people whitewashed. But there have been enough proved cases...to cause nationwide distrust and strong suspicion that there may be something to the

unproved, sensational accusations.

A Challenge to the Republican Party

As a Republican, I say to my colleagues on this side of the aisle that the Republican party faces a challenge today that is not unlike the challenge that it faced back in Lincoln's day. The Republican Party so successfully met that challenge that

it emerged from the Civil War as the champion of a united nation - in addition to being a party that unrelentingly fought loose spending and loose programs....

The Democratic administration has greatly lost the confidence of the American people by its complacency to the threat of communism here at home and the leak of vital secrets to Russia through key officials of the Democratic administration.

There are enough proved cases to make this point without diluting our criticism with unproved charges.

Surely these are sufficient reasons to make it clear to the American people that it is time for a change and that a Republican victory is necessary to the security of this country.... Yet to displace it with a Republican regime embracing a

philosophy that lacks political integrity or intellectual honesty would prove equally disastrous to this Nation. The nation sorely needs a Republican victory. But I do not want to see the Republican party ride to political victory... [using] fear,

ignorance, bigotry, and smear... I do not want to see the Republican party win that way. While it might be a fleeting victory for the Republican party, it would be a more lasting defeat for the American people. Surely it would ultimately be

suicide for the Republican party and the two-party system that has protected our American liberties from the dictatorship of a one-party system.

As members of the minority party, we do not have the primary authority to formulate the policy of our government. But we do have the responsibility of rendering constructive criticism, of clarifying issues, of allaying fears by acting as

responsible citizens.

As a woman, I wonder how the mothers, wives, sisters, and daughters feel about the way in which members of their families have been politically mangled in Senate debate - and I use the word "debate" advisedly...

I do not like the way the Senate has been made a rendezvous for vilification, for selfish political gain at the sacrifice of individual reputations and national unity. I am not proud of the way we smear outsiders from the floor of the Senate and

hide behind the cloak of congressional immunity and still place ourselves beyond criticism on the floor of the Senate.

As an American, I am shocked at the way Republicans and Democrates alike are playing directly into the Communist design of "confuse, divide, and conquer." As an American, I don't want a Democratic administration "whitewash" or "coverup" any more than I want a Republican smear or witch hunt.

As an American, I condemn a Republican Fascist just as much as I condemn a Democrat Communist. I condemn a Democrat Fascist just as much as I condemn a Republican Communist. They are equally dangerous to you and me and to

our country. As an American, I want to see our nation recapture the strength and unity it once had when we fought the enemy instead of ourselves.

It is with these thoughts that I have drafted what I call a Declaration of Conscience. I am gratified that the senator from New Hampshire, the senator from Vermont, the senator from Oregon, the senator from New York, the senator from

Minnesota and the senator from New Jersey have concurred in that declaration and have authorized me to announce their concurrence. The purpose of repeating the phrase "as an American" throughout the attached speech is most likely to

do all of the following except ____.

A. show a sense of unity with the audience ?she is one of them

B. arouse a sense of patriotism in the audience

C. remind the audience of the principals and foundations of America

D. inspire the audience to want to become American citizens if they are not already

A. Option A

B. Option B

C. Option C

D. Option D

Choose the ordered pair that is a solution to the equation represented by the graph.

A. (0, -3)

B. (2, 0)

C. (2, 2)

D. (-3, 0)