story problem

A chemist recorded the change in temperature of a cooling liquid as −25.5°F over a 1.5 minute period. The temperature fell at a constant rate.

What was the rate of change in temperature?

Respuesta :

Using it's concept, the rate of change in temperature was of -17 ºF per minute.

What is the average rate of change of a function?

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

In this problem, we have that:

  • The change in the output was of -25.5 ºF.
  • The change in the input was of 1.5 minutes.

Hence:

r = -25.5/1.5 = -17 ºF per minute.

The rate of change in temperature was of -17 ºF per minute.

More can be learned about rate of change at https://brainly.com/question/24313700

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