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Author: nsharp1
No. Questions: 3
Created: Jun 29, 2020
Last Modified: 4 years ago

Newton's Law of Cooling- Parameters

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The temperature of a hot object cooling to room temperature can be modeled by the function

$T(t) = a + be^(-kt)$ , where

$T$ measures the temperature in °C,

$t$ measures the time in hours, and

$k >= 0$ .

Grade 11 Exponents CCSS: HSF-LE.B.5

A.

The temperature of the object will eventually cool to room temperature, given enough time. Which parameter(s) would therefore most likely represent room temperature?

$a$
$b$
$k$
$a/b$

Grade 11 Exponents CCSS: HSF-LE.B.5

B.

Each object will have a different rate at which it cools. Depending on the type of material, its geometry, and other factors, it will cool faster or slower. Thus, two different objects, like a cup of coffee and a loaf of banana bread, even if they start at the same temperature and are in the same room, will cool at different rates. Which parameter(s) would most likely represent this cooling rate?

$a$
$b$
$k$
$-kt$

Grade 11 Exponents CCSS: HSF-LE.B.5

C.

The difference of the object's temperature and the surrounding temperature will impact how quickly the object cools. If the difference is greater (meaning the object is hotter), it will take longer. Which parameter(s) would most likely represent this difference?

$a$
$b$
$k$
$t$