which situation would be best represented by a linear function?\nthe temperature of a glass of ice water…

which situation would be best represented by a linear function?\nthe temperature of a glass of ice water increases by a factor of 1.05 until it reaches room temperature.\nwind chill temperature decreases at a greater rate for a low wind velocity and decreases at a lower rate for a high wind velocity when the temperature is 10° fahrenheit.\nthe outside temperature decreases at a constant rate per hour between sunset and sunrise.\nthe body temperature of a person with pneumonia increases rapidly and then decreases as an antibiotic takes effect.

which situation would be best represented by a linear function?\nthe temperature of a glass of ice water increases by a factor of 1.05 until it reaches room temperature.\nwind chill temperature decreases at a greater rate for a low wind velocity and decreases at a lower rate for a high wind velocity when the temperature is 10° fahrenheit.\nthe outside temperature decreases at a constant rate per hour between sunset and sunrise.\nthe body temperature of a person with pneumonia increases rapidly and then decreases as an antibiotic takes effect.

Answer

Explanation:

Step1: Recall the definition of a linear function

A linear function has a constant rate of change.

Step2: Analyze each option

  • Option 1: Temperature increasing by a factor (multiplicative change) is an exponential - like behavior (not linear).
  • Option 2: Wind - chill temperature changing at different rates (non - constant rate) is not linear.
  • Option 3: Temperature decreasing at a constant rate per hour. A constant rate of change is a key characteristic of a linear function. The general form of a linear function is (y = mx + b), where (m) (the slope) represents the constant rate of change. Here, if we let (y) be the temperature and (x) be the number of hours, and (m) is the constant rate of temperature decrease per hour.
  • Option 4: Body temperature increasing rapidly then decreasing (non - constant rate) is not linear.

Answer:

The outside temperature decreases at a constant rate per hour between sunset and sunrise.