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| 1 | |
The population of Whoville is currently 250 and is growing by 8% per year. An equation which could model the population growth of Whoville is: |
| | A) | P = 250(1.08)t |
| | B) | P = 250(1.8)t |
| | C) | P = (1.08)t |
| | D) | P = 250+1.08t |
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| 2 | |
Radioactive carbon has a half-life of 5730 years. This is the length of time it takes for half the amount of radioactive carbon in an object (like a fossil or prehistoric relic) to decay into its non-radioactive version. An equation which models this process is P = (0.5)(n/5730), where P is the percentage of radioactive carbon left in the object, and n is number of years since the object was buried. What percentage of radioactive carbon remains in an object which was buried 10 000 years ago? |
| | A) | 88.6% |
| | B) | 87.3% |
| | C) | 29.8% |
| | D) | Less than 0.001% |
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| 3 | |
Given the following table for a particular set of data:
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506629/FFCM11_KeyQuiz7_5_question3.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (22.0K)</a>]]>
Which model fits the data best? |
| | A) | Linear |
| | B) | Quadratic |
| | C) | Exponential |
| | D) | Not enough information to answer the question. |
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| 4 | |
Superguy has been infected with Shleptonite poisoning. He measures the amount of Shleptonite in his bloodstream every hour for ten hours, getting the following data:
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506629/FFCM11_KeyQuiz7_5_question4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (39.0K)</a>]]>
What is the exponential curve of best fit for this data? |
| | A) | y=-13.92x + 84.77 |
| | B) | y = 1.39x2 - 20.85x + 89.39 |
| | C) | y = 0.74(93.86)x |
| | D) | y = 93.86(0.74)x |
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| 5 | |
Continuing from the previous question, using your curve of best fit, predict the percentage of Superguy’s bloodstream that will be infected with shleptonite after 10 hours. |
| | A) | −54.39% |
| | B) | 4.62% |
| | C) | 19.56% |
| | D) | 54.39% |
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