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Question

A hotel has a total of 180 rooms, and on a certain day, half the rooms were cleaned. There were 9 housekeepers on duty at the hotel that day, and each housekeeper cleaned the same number of rooms, \(r\). Which of the following equations represents the information given in terms of \(r\) ? 

  1. \(2(9r)=180\)
  2. \(\frac{1}{2}(9r)=180\)
  3. \(2(r+9)=180\)
  4. \(\frac{1}{2}(r+9)=180\)
Answer/Explanation

Ans: A

Question

Approximately 90% of the volume of an iceberg lies below the surface of the water. If A represents the volume of an iceberg that lies above the surface of the water and V represents the total volume of the iceberg, which of the following equations best approximates A in terms of V?

  1. A = 10V
  2. A = 0.9V
  3. A = 0.1 V
  4. A = 0.1 V+0.9
Answer/Explanation

Ans: C

Question

In 2007, US economists gathered data about money collected for the arts, entertainment, and recreation industries in eight states. The ratio of money collected in all eight states to the money collected in the state of Florida was 11 to 8. If a total of \(x\) dollars was collected in all eight states, which expression represents the total amount of money, in dollars, collected in Florida?

  1. \(\frac{8x}{11}\)
  2. \(\frac{11x}{8}\)
  3. 8
  4. 11
Answer/Explanation

Ans: A

Question

From 1990 to 2001, German currency included coins called pfennigs, worth 1 pfennig each, and groschen, worth 10 pfennigs each. Which equation represents the number of pfennig coins, \(p\), and groschen coins, \(g\), that have a combined value of 85 pfennigs?

  1. \(p\)+\(g\)=85
  2. \(p\)+10\(g\)=85
  3. 10\(p\)+\(g\)=85
  4. 10(\(p\)+\(g\))=85
Answer/Explanation

Ans: B

Question

The function A(\(t\)) = 12(2)t/6 models the number of water hyacinths in a population over time, where A(\(t\)) is the number of water hyacinths and \(t\) is the time, in days, since the population was first measured. Which is the best interpretation of (2)t/6 in this context? 

  1. The number of water hyacinths doubled \(t\) times.
  2. The number of water hyacinths doubled every 6 days.
  3. The number of water hyacinths increased by t 2 every \(t\)/6 days.
  4. The number of water hyacinths increased by 2 every \(t\) days.
Answer/Explanation

Ans: B

Question

Bridges have spaces between their sections to allow for expansion and contraction caused by temperature variation. This space is known as the gap width. The size of the gap width \(w\)(\(T\)), in inches, is a linear function of temperature \(T\), in degrees Fahrenheit (°F). For a certain bridge, the gap width is 2.875 inches at 40°F and is 1.875 inches at 100°F. Which of the following defines the relationship between temperature and gap width?

  1. \(w(T)=-\frac{1}{60}(T-40)+2.875\)
  2. \(w(T)=-\frac{1}{60}(T+40)-2.875\)
  3. \(w(T)=60(T-40)+2.875\)
  4. \(w(T)=60(T+40)-2.875\)
Answer/Explanation

Ans: A

Question

The total cost \(C\), in dollars to tile a square floor is represented by the equation \(C\)=16\(L\)2, where \(L\) is the length of one side of the floor, in feet. Which of the following represents the cost, in dollars per square foot, to tile the floor?

  1. \(L\)
  2. 4
  3. 16
  4. 16\(L\)
Answer/Explanation

Ans: C

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