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Algebra 1

4.1.6 Practice

Algebra 14.1.6 Practice

4.1.6 Practice

4.1.6 • Practice

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


For questions 1 - 4, use the following scenario.

The relationship between the amount of time a car is parked, in hours, and the cost of parking, in dollars, can be described with a function.
  1. Identify the independent variable in this function.
  1. Cost of parking
  2. Amount of time car is parked
  1. Identify the dependent variable in this function.
  1. Cost of parking
  2. Amount of time car is parked
  1. Correctly describe the function with a sentence of the form “___ is a function of ___ .”
  1. The cost of parking is a function of the amount of time a car is parked.
  2. The amount of time a car is parked is a function of the cost of parking.
  1. Suppose it costs $3 per hour to park, with a maximum cost of $12. Here is a graph of the situation.



What does the point ( 2 , 6 ) mean in this situation?

  1. 6 hours of parking costs a total of $2
  2. 2 hours of parking costs a total of $6
  3. 6 hours of parking costs $2 per hour
  4. 2 hours of parking costs $6 per hour
  1. The distance a person walks, d , in kilometers, is a function of time, t , in minutes, since the walk began.

    Select the two statements about the input variable of this function that are true.
  1. Distance is the input.
  2. Time of day is the input.
  3. Time since the person starts walking is the input.
  4. t represents the input.
  5. d represents the input.
  6. The input is not measured in any particular unit.
  7. The input is measured in hours.
  8. For each input, there are sometimes two outputs.
  1. Determine if the following relation is a function.
    { ( 27 , − 3 ) , ( 8 , − 2 ) , ( 1 , − 1 ) , ( 0 , 0 ) , ( 1 , 1 ) , ( 8 , 2 ) , ( 27 , 3 ) }
  1. Yes
  2. No
  1. Is the following relation a function? Explain your answer.
  1. No
  2. Yes
  1. Determine if the following relation is a function.
    { ( 7 , − 3 ) , ( − 5 , − 4 ) , ( 8 , 0 ) , ( 0 , 0 ) , ( − 6 , 4 ) , ( − 2 , 2 ) , ( − 1 , 3 ) };
  1. Yes
  2. No
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