Real World Applications

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• H

• J

The student council sent its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on each trip. This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5) and (105, 6). What is the domain for this situation?

• {52, 105}

• {3, 4, 5, 6}

• {52, 72, 86, 105}

• {3, 4, 5, 6, 52, 72, 86, 105}

The number of ferryboat trips, f(c), needed to transport c cars in 1 day can be found using the function f(c) = c/20. If there are no more than 5,000 cars transported by ferryboat daily, what is the range of the function for this situation?

• The set of all integers greater or equal to 5,000.

• The set of all integers from 0 to 5,000

• The set of all integers greater or equal to 250

• The set of all integers from 0 to 250

A set of weights includes a 4lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by
f(x) = 20x+ 4.
What is the range of the function for this situation?

• {0, 1, 2, 3, 4, 5, 6}
• {4, 24, 44, 64, 84, 104, 124}
• {0, 2, 4, 6"
  {0, 2, 4, 6}
• {4, 44, 84, 124}

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c = 34.95u + 6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the team, what is the domain of the function for this situation?

• 0 < u ≤ 12

• 0 < c ≤ 425.65

• {8, 9, 10, 11, 12}

• {285.85, 320.80, 355.75, 390.70, 425.65}

The total cost of renting a banquet hall is a function of the number of hours that hall is rented. The owner of the hall charges $85 per hour plus a $50 cleaning fee. If a couple has a budget of $375, what is the maximum number of hours the hall can be rented?

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• 3
• 4
• 5

A plane can carry a maximum cargo weight of 160,000 pounds. A company uses one of these planes to ship 2,000-pound containers. The total cargo weight, y, is a function of the number of containers, x, in the plane. What is the greatest value int he domain of the situation?

• 8

• 80

• 8000

• {0,1, 2, 3, 4, 5, 6, 7, 8 }
• x ≤ 8
• 0 ≤ x ≤ 8
• x ≥ 0

• x ≥ 0
• x ≤ 7
• 0 ≤ x ≤ 7
• { 0,1, 2, 3, 4, 5, 6, 7 }

• y ≥ 0
• { 1, 2, 3, 4 }
• {0, 1, 2, 3, 4 }
• 0 ≤ y ≤ 3