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Key Quiz 8.4
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1
Mia is organizing a charity event at her school for her student council. At a ticket price of $15, 700 people will attend. For every 50 cents they raise the price above $15, 10 fewer people will buy tickets. The revenue they will raise can be modeled by the relation
<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/mhr_fom10_key8_4_q1.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"> (2.0K)</a> ,
where R is revenue in $ and p is the number of price increases above $15. What price should Mia charge to raise the most money?
A)$20/ticket
B)$25/ticket
C)$30/ticket
D)$35/ticket
2
The height of a rocket launched from the surface of Planet X can be modeled by the relation h = -11t2 + 209t + 7.25, where t is time in seconds since launching and h is altitude in metres. When will the rocket reach maximum altitude?
A)7.25 s
B)9.5 s
C)19 s
D)1000 s
3
The height of a rocket launched from the surface of Planet X can be modeled by the relation h = -11t2 + 209t +7.25 , where t is time in seconds since launching and h is altitude in metres. Approximately how long will the rocket stay in the air?
A)7.25 s
B)9.5 s
C)19 s
D)1000 s
4
The steel cords that help keep a suspension bridge up can be modeled by the relation
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where v represents vertical distance from the bridge surface and h represents horizontal distance from the eastern end of the bridge.
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What is the lowest height above the bridge the bridge that the cords will droop?
A)19 m
B)200 m
C)425 m
D)550 m
5
Ravi is doing an experiment in which he introduces an antibiotic into two separate cultures of bacteria to see which culture responds more quickly to the antibiotic. The reactions can be modeled by the following relations:
Culture #1:<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/mhr_fom10_key8_4_q5.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"> (1.0K)</a>
Culture #2:<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/mhr_fom10_key8_4_q5_1.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"> (2.0K)</a>
In each case, S represents the size of the culture (on a scale from 0 to 100) and t represents elapsed time in minutes. Which of the following is true?
A)The antibiotic eradicates the bacteria in Culture #2 3 minutes more quickly than it does in Culture #1.
B)The antibiotic eradicates the bacteria in Culture #1 3 minutes more quickly than it does in Culture #2.
C)The antibiotic fails to eradicate the bacteria in Culture #1.
D)The antibiotic fails to eradicate the bacteria in Culture #2.





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