COLLEGE ALGEBRA MODELING EXPONENTIAL AND LOGARITHMIC FUNCTIONS

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COLLEGE ALGEBRA MODELING EXPONENTIAL AND
LOGARITHMIC FUNCTIONS

• An ant population grows exponentially. In 10
  days
• 50 ants become 300 ants. Which of the following
• fits this information?
• (A) f(t) 50e.1792t , in 20 days there will be
  600 ants.
• (B) g(t) 50e.01792t, in 20 days there will be
  600 ants.
• (C) h(t) 50e.1792t, in 20 days there will be
  1800 ants.
• (D) j(t) 50e.01792t, in 100 days there will be
  6000
• ants.

PIKES PEAK COMMUNITY COLLEGE
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COLLEGE ALGEBRA MODELING EXPONENTIAL AND
LOGARITHMIC FUNCTIONS

• You start with 50 grams of a radioactive
  substance
• and after 10 years you have 28.3 grams left.
  Which of
• the following scenarios describes the decay of
  the
• substance?
• (A) R(t)50e-.0569t , ½ life is 12.18 years
  after 8 years 31.72 grams are left.
• (B) R(t)28.3e-.0569t , ½ life is 18.28 years
  after 8 years 17.95 grams are left.
• (C) R(t)28.3e-.0569t , ½ life is 12.18 years
  after 8 years 17.95 grams are left.
• (D) R(t)50e-.0569t , ½ life is 28.29 years
  after 8 years 31.72 grams are left.

PIKES PEAK COMMUNITY COLLEGE
3
COLLEGE ALGEBRA MODELING EXPONENTIAL AND
LOGARITHMIC FUNCTIONS

• White bread has an acidity level (pH) of about
• 5.45. Find the hydrogen ion concentration of
• the bread.
• (A)
• (B)
• (C)
• (D)
• (E) none of the above

PIKES PEAK COMMUNITY COLLEGE
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COLLEGE ALGEBRA MODELING EXPONENTIAL AND
LOGARITHMIC FUNCTIONSANSWERS

• Slide 1 C
• Slide 2 A
• Slide 3 D

PIKES PEAK COMMUNITY COLLEGE
11/20/2009
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