jaykittykat
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A contestant on a game show is given $100 and is asked five questions. The contestant loses $20 for every wrong answer. Is the graph discrete or continuous? Determine the domain and range.

Answer :

alphabetsam
For the first question, remember that a discrete graph is one where you don't have any values for non-integer numbers. For example, can she miss 1.5 questions? No, she can only miss 1, 2, 3, 4, or 5 questions. On the other hand, a continuous graph would have values at all possible numbers of questions, so if it were continuous, she could miss 1.34828481 questions. Now for the second part, the domain is all of the input values. Here, that's the number of questions she misses, so the domain would be 0, 1, 2, 3, 4, 5. The range is all of the output values, or the amount of money she takes home in this case. So the range would be $100, $80,,$60, $40, $20, $0.
MrRoyal

A function can either be discrete or continuous, depending on the input values of the function

  • The graph is discrete
  • The domain is [0,5]
  • The range is [0,100]

From the question, we understand that:

  • The contestant would be asked 5 questions
  • The contestant would lose $20, for each wrong answer

Notice that:

It is impossible to ask the contestant 1.5 questions

And base on the possible earnings, the contestant cannot earn $50.5 or number with decimal

When the data we are dealing with are non-decimal numbers, then the distribution is discrete

The domain and range

There are 5 possible questions to ask;

So, the domain is [0,5]

The contestant starts with $100.

So, the range is [0,100]

Read more about distributions at:

https://brainly.com/question/12967959

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