Ch7 BM Rev1
Determine which exponential function is exponential
growth or exponential decay or neither.
f(x) = x2
f(x) = 0.75-x
f(x) = (4.2)-x
Growth
?
Neither
?
Decay
?
Determine which exponential function is exponential
growth or exponential decay or neither.
f(x) = x/(x+2)
f(x) = 0.75x
f(x) = (0.2)-x
Growth
?
Decay
?
Neither
?
Determine which exponential function is exponential
growth or exponential decay.
f(x) = e-x
f(x) = x2+4x+1
f(x) = (1/e)-x
Neither
?
Growth
?
Decay
?
In the United State, 580 billion ton-miles of freight 
were transported in 1960. The amount of freight has
 been increasing at a rate of 4.35% per year.
A) Write a function representing the situation.  Use the
form f(t) = a(b)t to write your function.
B) How long will it take for  the amount of freight to
reach 2320 billion ton-miles?  Enter a number with
two decimal places including the units and truncate
the decimal.
[ex: 6.658 years is 6.65 years]
time in minutes
?
temperature of an object decreasing over time
?
decay constant
?
temperature of surrounding enviroment
?
initial temperature of an object
?
Is the temperature of the tea decreasing or increasing
as time (in minutes) elapses?
What structure of the expression provides a hint to your
previous answer?
[Enter any of these variables]:T,-k, or t:
Yes
No
2. After how many minutes will the tea reach
   180 degrees Fahrenheit?
1. Determine the initial temperature of the tea.
3. In the first 6 minutes, the tea will cool to:
[enter a whole number]
[enter a whole number]
The amount of money invested increases exponentially
 over time in years, as expressed by given function
 above.
1. Rewrite the model so that the model expresses the
    exponential increase over months, m
[use ^ to show power of...]
The amount of money invested increases exponentially
 over time in months, as expressed by given function
 above.
2. the base represents what aspect of the situation.
1. The amount of 325 represents what aspect of the
     situation.
3. Even thou, the model was changed to months, what is
    the rate of increase per year?
[enter a percent]
Initial Investment
?
The growth factor
?
10%
?
The amount of money invested increases exponentially
 over time in months, as expressed by given function
 above.
2. How long will it take to reach $975?
1. If you place $325 today, 2014, what will be the
dollar amount, A(m), in 2020.
3. What are the units in problem #2?
[truncate your answer up to the hundredth
 place value]
[truncate your answer up to the hundredth
 place value]
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