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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.

A student is writing an informational essay about the impact of global warming on polar bears in the Arctic.

As climate change and the effects of global warming are felt worldwide, scientists have determined that polar bears in the Arctic are just one of the many species facing extinction from our rapidly warming planet. As the ocean waters warm, the main food source for the bears is disappearing. Shortages of food are literally causing these creatures to die of starvation.

Whereas bears could previously walk out onto the sea ice and wait for a seal to poke its snout through, shrinking sea ice means the bears must now walk or swim much farther than they did before to find food. These longer migrations to find food are taking their toll on the bear population.

Seals are a polar bear's main source of protein. They are also another victim of global warming. With the sea ice melting earlier in the warmer springtime and forming later in the warmer winters, seals struggle with finding a safe place to raise their pups. As a result, their numbers are starting to drop, meaning they are also no longer a plentiful food source for the bears

Read the attached passage and then answer this question about it. You are asked to help a student with his conclusion for the attached essay. Which would be the best conclusion option he should use?

A. The effects of global warming and climate change are seen in a chain-reaction in nature. The melting of the ice creates a struggle for the seals as they seek a safe place to raise their young, and with fewer seals that are more difficult to find the polar bears are starving. The ecosystem is all interrelated and global warming shows us just how delicate a balance it is.

B. Polar bears find themselves in a battle with humans over their main food source. With locals killing seals for food and fur, the polar bears are finding it more and more difficult to hunt. We must enact stricter hunting regulations to save the seals, which will, in turn help to save the polar bears.

C. Before the majestic animals of the Arctic become extinct, people must work hard to drop their greenhouse gas emissions, including driving less and recycling more. Only by reversing the damaging effects of greenhouse gasses can the animals of the Artic be saved. We much step up and do our part to help save the planet.

D. Scientists are still working to understand the effects of global warming and climate change. In Australia, as climate change sparks huge and destructive wildfires, the eucalyptus trees native to the area are being destroyed. This, in turn, has a huge impact on another bear, the koala bear.

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)