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Jason is selling video games. To earn his monthly bonus, he must sell a minimum of 5 games. He has 30 he can sell. The video games cost $20 each. The function f(x) = 20x can be used to represent this situation. What is the practical range of the function? Question 16 options:
1. All whole numbers from 5 to 30, inclusive.
2. All whole numbers from 100 to 600, inclusive.
3. All real numbers.
4. All multiples of 20 between 100 and 600, inclusive.

Respuesta :

frika

Answer:

Correct choice is B

Step-by-step explanation:

The function [tex]f(x)=20x[/tex] represents the situation, where x is the number of sold video games and f(x) is the total cost of sold games.

Jason  must sell a minimum of 5 games, this means that [tex]x\ge 5.[/tex]  He has 30 video games he can sell, then [tex]x\le 30.[/tex]. Thus, the domain of the function is [tex]5\le x\le 30.[/tex]

The range of the function f(x) is

[tex]20\cdot 5\le f(x)\le 20\cdot 30,\\ \\100\le f(x)\le 600.[/tex]