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Name:______________________________________
Math 194 Spring 2007
Exam #2
April 3, 2007
(1.)
(4 points) Given the exponential functions below, give the y-intercept of each.
Also
tell whether that function is increasing or decreasing and why.
(a.)
f(t) = 5 (0.762)
t
(b.)
p(x) = 0.22 (1.004)
x
(2.)
(4 points) Rewrite the following using logs instead of exponents:
(a.) 10
4
= 10,000
(b.) e
y
= x
(3.)
(4 points) Rewrite the following using exponents instead of logs:
(a.)
log 4 = 0.60206
(b.)
ln 1 = 0
(4.)
(2 points) What is the equation of the asymptote for the function y = log x?
(5.)
(8 points) Solve the following exponential equations.
(a.)
33 (1.04)
t
= 99
(b.) 20 e
3 t – 1
= 5

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(6.)
Larry and Mary both had a cup of coffee today.
Larry had a large, so he drank 200
mg of caffeine.
The caffeine leaves Larry’s body at a rate of 18% per hour.
Mary had a
small cup, but with a triple shot of espresso in it, so she had 250 mg of caffeine.
The
caffeine leaves Mary’s body at a rate of 25% per hour.
(a.)

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