"Picture Perfect," a photo company, sells prints in various sizes. The cost of 4x6 prints can be represented by [tex]y = 0.25x + 2[/tex], where [tex]x[/tex] is the number of prints ordered. Max is going to order between 15 and 20 4x6 prints. Use this information to answer questions 20-22.

1. Give an example of a domain value that is NOT reasonable. Explain.
2. Find the domain.
3. Find the range.

Answer :

Final answer:

In this context, the domain is from 15 to 20 and represents the possible number of 4x6 photo prints Max can buy. A negative domain value like -5 is not reasonable because it's impossible to buy a negative number of photo prints. By substituting the domain values into the equation, we find the range, or possible cost outcomes, is from $5.75 to $7.

Explanation:

In the context of this problem, the domain represents the possible number of 4x6 prints that Max can buy. Since he could buy between 15 and 20 prints, the domain of the equation is from 15 to 20, inclusive.

An example of a domain value that is not reasonable for this scenario might be -5. This doesn't make sense in the context of our problem because Max cannot purchase a negative number of photo prints.

The range refers to all possible cost outcomes. We calculate the range by substituting the domain values (15 to 20) into the equation y = 0.25x + 2. This gives us a range from $5.75 to $7.

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