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Algebra 1

4.1.6 Practice

Algebra 14.1.6 Practice
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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.



    2. 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. No
  2. Yes
  1. Is the following relation a function? Explain your answer.
    This figure shows two table that each have one column. The table on the left has the header “Name” and lists the names “Neal”, “Krystal”, “Kelvin”, “George”, “Christa”, and “Mike”. The table on the right has the header “Phone number” and lists the numbers “123-567-4389 work”, “231-378-5941 cell”, “753-469-9731 cell”, “567-534-2970 work”, “684-369-7231 cell”, “798-367-8541 cell”, and “639-847-6971 cell”. There are arrows that start at a name and points toward a number in the phone number table. The first arrow goes from Neal to 753-469-9731 cell. The second arrow goes from Krystal to a 684-369-7231 cell. The third arrow goes from Kelvin to 231-378-5941 cell. The fourth arrow goes from George to 123-567-4389 work. The fifth arrow goes from George to 639-847-6971 cell. The sixth arrow goes from Christa to 567-534-2970 work. The seventh arrow goes from Mike to 567-534-2970 work. The eighth arrow goes from Mike to 798-367-8541 cell.
  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. No
  2. Yes
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