Can someone please help me? I have no idea how I need to set this up.

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the function
f(x) = 0.10x + 2.75
where x is the number of years since 1980.

A. Graph the function and identify its domain and range.
B. Find the vale of X so that f(x) = 4.55 and explain what the solution means in this situation.

Question

Can someone please help me? I have no idea how I need to set this up.

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the function 
f(x) = 0.10x + 2.75
where x is the number of years since 1980.

A. Graph the function and identify its domain and range.
B. Find the vale of X so that f(x) = 4.55 and explain what the solution means in this situation.

trojanpoem · Answer

A) I think the domain must remain positive in this case as f(x) the average may not be negative.

f(x) in (inf, 0] (range)
0.10x + 2.75 >= 0
0.10x >= -2.75
x >= -27.5

x in (inf, -27.5]  (domain)

 (Not sure of first part indeed)

0.10 x + 2.75 = 4.55
x = 18  ( x is the number of years since 1980 )  
year -> 1998 the average ticket price was 4.55