Question

20 points

Lily is selling Girl Scout cookies for $4.00 per box, which is represented by the function f(x)= 4x. She currently has 12 boxes left to sell.
What is the practical range of the function.

All real numbers
All integers from 0 to 12, inclusive
All multiples of 12, between 0 and 48, inclusive
All multiples of 4 between 0 and 48, inclusive

Answer 1

Step-by-step explanation:

The practical range of the function represents the possible values of f(x) given the context of the problem. In this case, since Lily is selling Girl Scout cookies, the practical range should consist of realistic, meaningful values.

Lily is selling Girl Scout cookies for $4.00 per box, and she currently has 12 boxes left to sell. Therefore, the number of boxes (x) she can sell should be a whole number between 0 (if she sells none) and 12 (if she sells all of them).

So, the practical range of the function f(x) = 4x in this context is:

All integers from 0 to 12, inclusive.

This means that x can take on any integer value between 0 and 12, including 0 and 12, as these values represent the number of boxes Lily can sell within the given context.

Answer 2

The practical range of the function is all multiples of $4.00 between 0 and $48.00, inclusive.

Step-by-step explanation:

The practical range of the function is the set of all possible values that Lily can earn by selling her Girl Scout cookies. Since she has 12 boxes left to sell, the maximum amount of money she can earn is $4.00 x 12 = $48.00. Therefore, the practical range of the function is all multiples of $4.00 between 0 and $48.00, inclusive. Therefore, the correct answer is 'All multiples of 4 between 0 and 48, inclusive'.