7.2.4 Curve Fitting With Exponential and Logarithmic Models − Practice
1. Determine whether f is an exponential function of x . If so, find the constant ratio.
2. Determine whether f is an exponential function of x . If so, find the constant ratio.
x
0 1 2 3
x
− 1 0 1 2
4 3
2 3
1 3
1 6
f ( x )
3 4
f ( x ) 48 12 3
3. Determine whether f is an exponential function of x . If so, find the constant ratio.
4. Identify an exponential model for the data.
x − 1 0 1 2 3 f ( x ) 2 6 9 11 12
Building Value
Value (thousands $)
Year 1990 1992 1994 1995 1996 2000
12,100 10,498 9,079 8,444 7,853 5,874
5. Using an exponential model for the data, estimate when the building value will drop below $3,000. Building Value Year Value (thousands $) 1990 12,100 1992 10,498 1994 9,079 1995 8,444 1996 7,853 2000 5,874
6. Using an exponential model for the data, estimate when the population will exceed 100 million.
Populations
Population (millions)
Year 2000 2002 2004 2006
53 57 62 67
147
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