Logarithms And Logarithmic Functions Worksheet With Answers Page 18
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27would 20 of these bacteria multiply into 8000?
c. E. coli are fast growing bacteria. If 6 e. coli can
grow to 1296 in 4.4 hours, what is the generation
7-3 Logarithms and Logarithmic Functions
time of e. coli?
SOLUTION:
d.
Because eventually the graph plateaus and no matter
a. Substitute G = 16, b = 4, and f = 1024 into the
how much money you spend you are still returning
bacterial growth formula.
about the same in sales.
ANSWER:
a. S(3) =30, S(15) = 50, S(63) = 70
b . If $3000 is spent on advertising, $30,000 is
returned in sales. If $15,000 is spent on advertising,
$50,000 is returned in sales. If $63,000 is spent on
advertising, $70,000 is returned in sales.
c .
Therefore, t = 264 hours or 11 days.
b. Substitute G = 5, b = 20, and f = 8000 into the
bacterial growth formula.
d . Because eventually the graph plateaus and no
matter how much money you spend you are still
returning about the same in sales.
Therefore, t = 49.5 hours or about 2 days 1.5 hours.
58. BIOLOGY The generation time for bacteria is the
c . Substitute t = 4.4, b = 6, and f = 1296 into the
time that it takes for the population to double. The
bacterial growth formula.
generation time G for a specific type of bacteria can
be found using experimental data and the formula G
=
, where t is the time period, b is the
number of bacteria at the beginning of the
experiment, and f is the number of bacteria at the
end of the experiment.
a. The generation time for mycobacterium
tuberculosis is 16 hours. How long will it take four of
these bacteria to multiply into 1024 bacteria?
b. An experiment involving rats that had been
Therefore, G =
hour or 20 minutes.
exposed to salmonella showed that the generation
time for the salmonella was 5 hours. After how long
ANSWER:
would 20 of these bacteria multiply into 8000?
a. 264 h or 11 days
c. E. coli are fast growing bacteria. If 6 e. coli can
b. 49.5 h or about 2 days 1.5 h
grow to 1296 in 4.4 hours, what is the generation
time of e. coli?
c .
h or 20 min
SOLUTION:
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a. Substitute G = 16, b = 4, and f = 1024 into the
59. FINANCIAL LITERACY Jacy has spent $2000
bacterial growth formula.
on a credit card. The credit card company charges
24% interest, compounded monthly. The credit card
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