Question

The number of guests at a ski resort on any given day is related to the day's high temperature. If the high temperature is -20°F or below, no one comes to the resort. As the temperature increases, so does the number of guests. Once the temperature reaches 0°F and increases through the single digits, the number of guests soars. If the temperature is 10°F or higher, the ski resort is at full capacity with 400 guests.

To represent this relationship, you could use the following inequality:

a) Guests ≤ 0.5(temperature) + 20
b) Guests ≥ 10(temperature)
c) Guests ≤ 400
d) Guests = temperature - 20

Answer 1

The correct representation of the relationship between the number of guests at a ski resort and the high temperature is Guests ≥ 10(temperature).

Step-by-step explanation:

The correct representation of the relationship between the number of guests at a ski resort and the high temperature is option b) Guests ≥ 10(temperature).

Let's break down the given information. If the high temperature is -20°F or below, no one comes to the resort. As the temperature increases, so does the number of guests. Once the temperature reaches 0°F and increases through the single digits, the number of guests soars. If the temperature is 10°F or higher, the ski resort is at full capacity with 400 guests.

This information indicates that as the temperature increases, the number of guests also increases. So, we can write an inequality to represent this relationship: Guests ≥ 10(temperature). Option b represents this relationship correctly.