Math Basketball Honors Pre-Calculus Mid-Chapter 3 Quiz Review

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Math BasketballHonors Pre-CalculusMid-Chapter 3
Quiz Review
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How to play Math Basketball

• Your table group will be your team
• A problem will be displayed and your team will
  need to work together to find a solution to the
  problem in the time given.
• Only one member of the team may write during a
  given problem and that role must switch to a new
  team member before the next question.

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How to play Math Basketball (cont.)

• Upon finding the solution, a team will raise
  their hands and I will confirm the solution
• But, be warneda team may only raise their hand
  once to show me the solutionso make sure
  everyone on the team agrees on the solution
  before showing mefor showing me the wrong
  solution means scoring no points
• Every team (not just the first) may score 1 point
  if they raise their hand and show the correct
  answer

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How to play Math Basketball cont.

• After the time allotted for a question has passed
  (and we see how the problem is solved), those
  teams that have scored 1 point on the question
  will have a chance to shoot for a 2nd point.
• So, each team has the possibility of scoring 2
  points for each question
• The team that finishes last will get 1 point,
  second to last will get 2 points, and so on.

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Anything that would fall into the category of
cheating (or negative remarks towards another
team) will result in negative points awarded to
the team(s) involved.
Cheating
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Any questions???Time to play Math
Basketball!!!!!
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Question 1 Sketch and analyze the graph of the
following function. Describe its domain, range,
intercepts, asymptotes, end behavior, and where
the function is increasing or decreasing.
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Question 2 Sketch and analyze the graph of the
following function. Describe its domain, range,
intercepts, asymptotes, end behavior, and where
the function is increasing or decreasing.

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Question 3 The table shows the number of
reported cases of chicken pox in the United
States in 1980 and 2005. If the number of
reported cases of chicken pox is decreasing at an
exponential rate, identify the rate of decline
and write an exponential equation to model this
situation.
Year Cases (thousands)
1980 190.9
2005 32.2
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Question 4 Use the model you found in 3 to
predict when the number of cases will drop below
20,000.
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Question 5

• Worldwide water usage in 1950 was about 294.2
  million gallons. If water usage has grown at the
  described rate, estimate the amount of water used
  in 2000.
• 3 quarterly
• 3.05 continuously

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Question 6

• Use the data in the table below and assume that
  the population of Miami-Dade County is growing
  exponentially. Identify the rate of growth and
  write an exponential equation to model this
  growth.

Year Population (million)
1990 1.94
2000 2.25
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Question 7

• Use the model you found in 6 to predict in which
  year the population of Miami-Dade County will
  surpass 2.7 million.

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Question 8

• The chance of having an automobile accident
  increases exponentially if the driver has
  consumed alcohol. The relationship is modeled
  below, where A is the percent chance of an
  accident and c is the drivers blood alcohol
  concentration (BAC). The legal BAC is 0.08. What
  is the percent chance of having a car accident at
  this concentration?

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Question 9

• Use the model from 8. What BAC would correspond
  to a 50 chance of having a car accident?

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Question 10

• The Consumer Price Index (CPI) is an index number
  that measures the average price of consumer goods
  and services. A change in the CPI indicates the
  growth rate of inflation. In 1958, the CPI was
  28.6, and in 2008, the CPI was 211.08.
• Determine the growth rate of inflation between
  1958 and 2008. Use this rate to write an
  exponential equation to model this situation.
• What will be the CPI in 2015?

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Question 11

• Evaluate each expression
• a) ln32
• b)
• c)
• d) ln9

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Question 12

• Sketch and analyze the graph of each function.
  Describe its domain, range, intercepts,
  asymptotes, end behavior, and where the function
  is increasing or decreasing.

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Question 13

• Sketch and analyze the graph of each function.
  Describe its domain, range, intercepts,
  asymptotes, end behavior, and where the function
  is increasing or decreasing.

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Question 14

• Use the graph of f(x) ln(x) to describe the
  transformation that results in each function.
  Then sketch the graphs of the functions.
• a.
• b.

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Question 15

• The annual growth rate for an investment can be
  found using the formula below, where r is the
  annual growth rate, t is time in years, P is the
  present value, and P0 is the original investment.
  An investment of 10,000 was made in 2002 and had
  a value of 15,000 in 2009. What was the average
  annual growth rate of the investment?

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Answers

• 1. D (-8, 8) R (0, 8)
• Intercept y 1 Asymptote y 0
• End behavior lim as x ? -8 8
• lim as x ? 8 0
• Inc./Dec. Decrease from (-8, 8)
• 2. D (-8, 8) R (0, 8)
• Intercept y 1 Asymptote y 0
• End behavior lim as x ? -8 0
• lim as x ? 8 8
• Inc./Dec. Increase from (-8, 8)

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Answers (cont.)

• 3.
• During the 35th year
• 1,311.15 million gallons 1,351.89 million
  gallons
• 4.855

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Answers (cont.)

• 8.
• 16.71
• 10. 3.6496, 220.66
• 11. a) 3.47 b) 4 c) -3 d) -2.197
• 12. D (0, 8) R (-8, 8)
• Intercept x 1 Asymptote x 0
• End behavior lim x -gt 0 - 8
• lim x -gt 8 8
• Increase from (-8, 8)

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Answers (cont.)

• 13. D (0, 8) R (-8, 8)
• Intercept x 1 Asymptote x 0
• End behavior lim x -gt 0 8
• lim x -gt 8 - 8
• Decrease from (-8, 8)
• 14. It flips overs the x-axis and moves 3 to the
  left.
• It shifts left 4 and up 3.
• 15. 5.79.