Question

Gabe has a monthly food budget of $120. He maps the amount of money, x, he spends each month to the number of food items, y, he buys.

What is a reasonable domain for Gabe's situation in terms of the amount of money he spends each month, x, given that his budget is $120?

Answer 1

The reasonable domain for Gabe's monthly food expenses, x, given his budget of $120, is all real numbers from 0 to 120, inclusive.

Step-by-step explanation:

The question is asking for a reasonable domain for the variable x, which represents the amount of money Gabe spends monthly on food, given his $120 budget. In terms of mathematics, the domain refers to all the possible values that x can take. Since Gabe has a monthly food budget of $120, he cannot spend more than this amount. Therefore, the domain for x would be all real numbers that are greater than or equal to 0 and less than or equal to 120. This is because he cannot spend a negative amount on food, and he cannot exceed his budgeted amount.