Question

Mary is selling tickets for a local raffle for $3 each. She has already sold $27 worth of tickets for a local raffle. She has 6 tickets left to sell.
f(t)=3t+27
What is a reasonable domain and range for the function?

Answer 1

Using function concepts, it is found that:

• A reasonable domain is: {0, 1, 2, 3, 4, 5, 6}.
• A reasonable range is: {27, 30, 33, 46, 39, 42, 45}

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• The domain of a function is the set that contains all possible input values.
• The range of a function is the set that contains all possible output values.

• She has 6 tickets left to sell, so she can sell at most 6 more tickets, which means that the input of the function is an integer number which is at most 6, thus a reasonable domain is: {0, 1, 2, 3, 4, 5, 6}.

• For each ticket sold, she earns $3. She already has $27, and the most she can earn is 27 + 3(6) = $45. Thus, a reasonable range, which contains her possible earnings, is: {27, 30, 33, 46, 39, 42, 45}

A similar problem is given at brainly.com/question/24742551