Difference between revisions of "2024 AMC 8 Problems/Problem 30"

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=Problem=
 
=Problem=
The volume of a fluid doubles every minute. It is in a cup with capacity 4 L and its current volume is 1 L. If the amount of seconds before the cup is <math>\frac{3}{4}</math> full can be expressed as <math>a+\log_b c</math>, find <math>a+b+c</math>.
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The volume of a fluid doubles every minute. It is in a cup with capacity 4 L and its current volume is 1 L. If the amount of seconds before the cup is <math>\frac{3}{4}</math> full can be expressed as <math>a+\log_b c</math>, find <math>a+b+c</math> as a mixed number in simplest form.
  
 
=Answer=
 
=Answer=
 
<math>4.5</math>
 
<math>4.5</math>

Revision as of 12:30, 5 January 2025

Problem

The volume of a fluid doubles every minute. It is in a cup with capacity 4 L and its current volume is 1 L. If the amount of seconds before the cup is $\frac{3}{4}$ full can be expressed as $a+\log_b c$, find $a+b+c$ as a mixed number in simplest form.

Answer

$4.5$