Question

1. margaret has a monthly clothes budget of $50. she maps the amount of money she spends each month to the number of items of clothing she buys. what constraints are there on the domain?

Explanation:

Step1: Define domain variable

The domain here is the amount of money Margaret spends monthly on clothes, let this be $x$.

Step2: Set minimum spending constraint

She can spend at least $0 (no clothes bought).
$x \geq 0$

Step3: Set maximum spending constraint

Her monthly budget is $50, so she cannot spend more than this.
$x \leq 50$

Step4: Combine constraints

Combine the lower and upper bounds for the domain.
$0 \leq x \leq 50$

Answer:

The domain (amount spent monthly) must satisfy $0 \leq x \leq 50$, where $x$ represents the dollars spent on clothes, meaning Margaret can spend between $0 and $50 inclusive each month.