Televisions The rate of television thefts is doubling every 4 months.
a. Determine, to two decimal places, the base b for an exponential model of the rate of television thefts as a function of time in months.
b. Find the tripling time to the nearest tenth of a month. HINT [(a) See Section 2.2 Example 2. (b) See Quick Examples page 159.]
Example 2:
Find an equation of the exponential curve through (1, 6.3) and (4, 170.1).
Solution We want an equation of the form
Substituting the coordinates of the given points, we get
If we now divide the second equation by the first, we get
Now that we have b, we can substitute its value into the first equation to obtain
We have both constants, A = 2.1 and b = 3, so the model is
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