Let's determine how the cable TV bill is calculated based on the given pricing information:
1. The flat fee for basic cable service is [tex]\(\$25\)[/tex]. This fee is charged regardless of whether any movies are watched.
2. To find the additional cost per movie, observe the increase in the total cable TV bill as the number of movies watched increases.
- For 0 movies watched, the bill is [tex]\(\$25\)[/tex].
- For 1 movie watched, the bill is [tex]\(\$29\)[/tex].
- For 2 movies watched, the bill is [tex]\(\$33\)[/tex].
- For 3 movies watched, the bill is [tex]\(\$37\)[/tex].
Notice the pattern:
- From 0 to 1 movie, the bill increases by [tex]\(\$4\)[/tex] ([tex]\(29 - 25 = 4\)[/tex]).
- From 1 to 2 movies, the bill increases by [tex]\(\$4\)[/tex] ([tex]\(33 - 29 = 4\)[/tex]).
- From 2 to 3 movies, the bill increases by [tex]\(\$4\)[/tex] ([tex]\(37 - 33 = 4\)[/tex]).
The additional cost for each movie is consistently [tex]\(\$4\)[/tex].
3. Let's calculate the total bill for a customer who watches 7 movies:
The cost for movies watched is:
[tex]\[
7 \text{ movies} \times \$4/\text{movie} = \$28
\][/tex]
4. Adding the flat fee of [tex]\(\$25\)[/tex] to the cost for movies watched:
[tex]\[
\$25 + \$28 = \$53
\][/tex]
Thus, the cable TV bill for a customer who watched 7 movies is [tex]\(53\)[/tex].
