According to data about movie ticket prices, between 2000 and 2014 the average cost of a movie ticket in a given year was C(t) = 5.70 + 0.23t dollars. Here t is the time in years since 2000. (a) Explain in practical terms the meaning of  C(9). The expression C(9) is the year in which a movie ticket will cost 9 dollars.The expression C(9) is the average cost, in dollars, of a movie ticket in 2000.    The expression C(9) is the year in which a movie ticket will cost 9 dollars more than a movie in 2000 cost.The expression C(9) is the average cost, in dollars, of a movie ticket in 2009.The expression C(9) is the average cost, in dollars, of a movie ticket in 2014. (b) Use functional notation to express the average cost of a movie ticket in 2012. C       (c) Calculate the average cost of a movie ticket in 2012.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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According to data about movie ticket prices, between 2000 and 2014 the average cost of a movie ticket in a given year was
C(t) = 5.70 + 0.23t dollars.
Here t is the time in years since 2000.
(a)
Explain in practical terms the meaning of 
C(9).
The expression C(9) is the year in which a movie ticket will cost 9 dollars.The expression C(9) is the average cost, in dollars, of a movie ticket in 2000.    The expression C(9) is the year in which a movie ticket will cost 9 dollars more than a movie in 2000 cost.The expression C(9) is the average cost, in dollars, of a movie ticket in 2009.The expression C(9) is the average cost, in dollars, of a movie ticket in 2014.
(b)
Use functional notation to express the average cost of a movie ticket in 2012.
C
 
  
 
(c)
Calculate the average cost of a movie ticket in 2012.
Expert Solution
Step 1

Given,

Movie ticket prices between 2000 and 2014 the average cost of a movie ticket in a given year was,

C(t) = 5.70 + 0.23t dollars.

Here t is the time in years since 2000.

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