Answer:
You can watch 13 movies
Step-by-step explanation:
Cost of Carl's Cable Company:
- Monthly service = $55
- For 1 paper view movie = $4
Cost of Teleview Cable Company
- Monthly service = $110
Lets take that you watch [tex]x[/tex] paper view movies per month.
Then the cost of paper view movies = $[tex]4*x[/tex]
Now we can calculate the total cost of cable TV if you watch [tex]x[/tex] paper view movies per month.
Total cost = Monthly service + Paper view movie cost
=[tex]55+4x[/tex]
Now we can write an inequality for the Cost of Car's Cable Company cost being less than Teleview as follows;
[tex]55+4x≤110[/tex]
Now we can solve this inequality and find [tex]x[/tex] the number of movies you can watch so that the Cost of Carl's cable company will be less than teleview.
[tex]55+4x≤110[/tex]
=[tex]4x≤110-55[/tex]
=[tex]4x≤55[/tex]
=[tex]x≤13.75[/tex]
Therefore, if you watch less than 13.75 movies per month the cost of Carl's cable company cost will be less than Teleview.
So you can watch 13 movies (Number of movies has to be a whole number)
