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Type: Multiple-Choice
Category: Exponents
Level: Grade 11
Standards: HSF-LE.B.5
Author: nsharp1
Created: 4 years ago

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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

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?

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