| The Problem |
|
The
linear function given by |
The number 10000 in this
problem represents the value of 
. So replacing
with 10000 gives us the following equation to solve:
10000 = 214.2 (x – 1950) + 2322 |
Solving symbolically means using the normal procedures of algebra to obtain a solution.
|
214.2 (x – 1950) + 2322 = 10000 214.2 x – 417690 + 2322 = 10000 214.2 x - 415368 = 10000 214.2 x = 425368 x
|
Original
Equation
Distributive Property Combine Like Terms Add 415368 to Both Sides Divide Both Sides by 214.2 |
Thus, according to this model, in 1985 there were approximately 10,000 stations on the air.
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models the number of radio stations on the air from 1950 to 1995.
(Source: National Association of Broadcasters.) Determine an
equation whose solution is the year when there were 10000 radio stations
on the air and then solve the equation graphically, symbolically,
and numerically. 
1985.845 
