Introduction to Modeling with Functions

Question 2 • FL-1200315-Algebra 1 CR

Which situation would be best represented by a linear function?

Answer

The temperature of a glass of ice water increases by a factor of 1.05 until it reaches room temperature.

Wind 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.

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

The body temperature of a person with pneumonia increases rapidly and then decreases as an antibiotic takes effect.

Explanation

A linear function changes by the same amount for each equal increase in the input. In choice C, the outside temperature decreases at a constant rate per hour, so it changes by the same amount each hour. Choice A describes a percentage increase, while choices B and D describe changing rates.

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