Question

The cost of 4x6 prints can be represented by y = 0.5x + 2, where x is the number of prints ordered. Max is going to order between 15 to 20 4x6 prints. Give an example of a domain value that is not reasonable and explain why.

a) x = 5 (not reasonable as it's below the minimum order)

b) x = 25 (not reasonable as it's above the maximum order)

c) x = 18 (reasonable within the specified range)

d) x = -2 (not reasonable as negative prints are not possible)

Answer 1

A domain value not reasonable for the function y = 0.5x + 2, representing the cost of prints, is any value for x not between 15 and 20, as specified by the constraints. Values below 15, above 20, or negative are not practical for Max's situation.

Step-by-step explanation:

In the context of the function y = 0.5x + 2, where x is the number of prints ordered, and y is the cost, a domain value that is not reasonable would be any value of x that does not reflect a realistic quantity of prints that Max can order based on the given constraints (15 to 20 prints).

• x = 5 is not reasonable because it's below the minimum order quantity.
• x = 25 is not reasonable as it's above the maximum order quantity.
• x = 18 is a reasonable value and falls within the specified range of 15 to 20 prints.
• x = -2 is not reasonable because negative prints are not possible and don't represent a physical quantity.

It is important to understand these kinds of domain restrictions in functions to make appropriate and reasonable predictions or to analyze data accurately.