Answer:
2.75
Step-by-step explanation:
Here, we want to find which part of the formula corresponds to the cost of movie tickets in 1980
The expression to find the cost is
2.75 + 0.10x
Now, x is the time since 1980
1980 is thus the starting position. The value of x at this point is 0, we simply thus make a substitution;
2.75 + 0.1(0)
=
2.75
The interpretation of the given model is required.
The cost of a movie ticket in the year 1980 was $2.75.
The given expression is
[tex]y=2.75+0.1x[/tex]
The point slope form of a line is
[tex]y=mx+c[/tex]
where,
m = Slope
c = Y intercept
The cost of movie ticket increases by $0.10 every year after 1980.
Here, [tex]x[/tex] is the number of years that have passed after 1980.
So, when [tex]x=0[/tex] it will correspond to the cost of ticket in 1980.
[tex]y=2.75+0.1\times 0\\\Rightarrow y=2.75[/tex]
The cost of a movie ticket in the year 1980 was $2.75.
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