2.2 APPC Live Game

When a certain car is initially purchased, its value is 20,000 dollars. If the car loses 9% of its value each year, when will the car’s value be 10,000 dollars?

• Between 7 years and 8 years after its initial purchase

• Between 1 year and 2 years after its initial purchase

• Between 5 years and 6 years after its initial purchase

• Between the date of the initial purchase and 1 year

A family needs to buy one shovel and between one and eight plants, inclusive, for their new garden. The cost of the shovel is a s dollars, and the cost of one plant is p dollars. The output values which of the following give the possible costs for these items, in dollars?

(Note: Assume any taxes are included in the costs.)

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Which of the following includes the input-output pairs (2,4) and (3, 8)?

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An exponential function G has a known common ratio of  1/2 and includes the input-output pair (1, 4). Which of the following could define G(x)?

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The second term of a sequence is 6 and the fourth term is 24. Of the following, which statement is true?

• If the sequence is geometric, the first term could be 1.

• If the sequence is arithmetic, the third term could be 12.

• If the sequence is geometric, the fifth term could be 48.

• If the sequence is arithmetic, the sixth term could be 48.

The fifth term of a geometric sequence is 24, and the sixth term is 48. What is the 10th term of the sequence?

• 144

• 768

• 168

• 1536

The table gives on the left gives values of an arithmetic sequence. Which of the following is an equation of a linear function that could represent this sequence?

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The population of a town is shown in the table. Consider a linear population for the town’s population and an exponential model for town’s population. Which model predicts a higher population in the year 2028?

• The linear model predicts a higher population by 321 residents.

• The linear model predicts a higher population by 721 residents.

• The exponential model predicts a higher population by 831 residents.

• The exponential model predicts a higher population by 631 residents.

Paul is one of the best young chess players in the world.  At only 17 years old, he is already the 8^th highest rated chess player in the world and recently surpassed the former world chess champion in the USA.  When he first began playing chess, Paul's rating could be modeled using a geometric sequence, where the first term represents his rating during month 1 (December 2013).

During month 9 (August 2014), he had a rating of 1475 and during month 15 (February 2015), a rating of 1700.

According to this model, what was Paul’s rating during month 25 (December 2015)?  Round your answer to the nearest whole number.

• 2154

• 2075

• 3950

• 7031