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Algebra 1

4.9.6 Practice

Algebra 14.9.6 Practice
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Complete the following questions to practice the skills you have learned in this lesson.

  1. The graphs show the distance, d , traveled by two cars, A and B, over time, t . Distance is measured in miles, and time is measured in hours. Which car traveled slower?

    Lines A and B on coordinate plane.
  1. Car B
  2. Car A

For questions 2 – 5, use the graphs below to match each description of a situation in which the volume of water in a tank is a function of time to its corresponding graph.

Graph 1
Graph on coordinate plane, no grid, Origin O. V shaped graph, line begins on Y axis, Vertex points down.

Graph 2
Graph on coordinate plane, no grid, Origin O. Line begins at origin, moves upwards and to right. Steeper second segment.

Graph 3
Graph on coordinate plane, no grid, Origin O. V shaped graph, line begins on at origin, Vertex points up.

Graph 4
Graph on coordinate plane, no grid, Origin O. Line begins at origin, moves upwards and to right, decreases briefly, then increases again.

  1. An empty 20-gallon water tank is filled at a constant rate for 3 minutes until it is half full. Then, it is emptied at a constant rate for 3 minutes.
  1. Graph 4
  2. Graph 3
  3. Graph 2
  4. Graph 1
  1. A full 10-gallon water tank is drained for 30 seconds, until it is half full. Afterward, it gets refilled.
  1. Graph 4
  2. Graph 3
  3. Graph 2
  4. Graph 1
  1. A 2,000-gallon water tank starts out empty. It is being filled for 5 hours, slowly at first, and faster later.
  1. Graph 4
  2. Graph 3
  3. Graph 2
  4. Graph 1
  1. An empty 100-gallon water tank is filled in 50 minutes. Then, a dog jumps in and splashes around for 10 minutes, letting 7 gallons of water out. The tank is refilled afterward.
  1. Graph 4
  2. Graph 3
  3. Graph 2
  4. Graph 1

For questions 6 – 7, use this situation and function:

The daily cost to the manufacturing company is modeled by the function C ( x ) = 7.25 x + 2500 , where C ( x ) is the total daily cost and x is the number of items manufactured.

  1. What value equals C ( 0 ) ?
  1. What does C ( 0 ) mean in the context of the situation?
  1. Maximum cost
  2. Cost before any items are manufactured
  3. Horizontal intercept
  4. When the cost is 0
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