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

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Grade 11 Functions and Relations CCSS: HSF-LE.B.5

Johanna is working in a lab that deals with radioactive substances. A 100 g sample was left unmarked and she now has to try and determine what it is. She has some guesses, and believes that it will decay according to the function

$S(t) = 100e^(-0.053t)$ , where

$S$ is the amount of the sample left, in grams, after

$t$ hours. After some more testing, she believes that it is a different substance that will decay more rapidly. Which of the following functions would be possible alternatives, given this information?

$S(t) = 95 e^(-0.053t)$
$S(t) = 100 e^(-0.041t)$
$S(t) = 100 e^(-0.087t)$
$S(t) = 100e^(0.053t)$