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14 November, 21:25

Blake gives piano lessons in the evenings.

He earns $20 for each piano lesson and had between 0 and 6 lessons each evening.

The amount he earns in an evening depends on the number of lessons he gives.

What is the range of this relation?

A. 0 ≤ y ≤ 120

B. {0, 20, 40, 60, 80, 100, 120}

C. 0 ≤ y ≤ 6

D. {0, 1, 2, 3, 4, 5, 6}

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Answers (1)
  1. 14 November, 21:41
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    The correct answer is B. {0, 20, 40, 60, 80, 100, 120}

    Step-by-step explanation:

    1. Let's check all the information given to answer this question correctly:

    Rate of each piano lesson Blake gives = US$ 20

    Blake can give between 0 and 6 lessons every evening

    Earnings = Number of lessons * Rate of each lesson

    2. What is the range of this relation?

    Let's recall that the domain of a relation is the set of all values for which the relation is defined, and the range of the relation is the set of all values that the relation takes.

    It means that the domain of the relation in this case is the number of lessons that Blake can give every evening:

    {0, 1, 2, 3, 4, 5, 6}

    And the range of this relation is the amount Blake earns in an evening depending on the number of lessons he gives:

    {0, 20, 40, 60, 80, 100, 120}

    The correct answer is B. {0, 20, 40, 60, 80, 100, 120}
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