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Answer:
After 9 movies they will have paid the same amount
Step-by-step explanation:
We must write an equation for Duke's expenses and an equation to represent Tennessee's expenses.
<u>For Duke expenses we have:</u>
A fixed expense of $ 111.60 per year
A variable expense of $ 4.00 for each movie.
The equation that represents the expenses is a linear equation like the one shown below
Where C represents the cost and x the number of movies.
<u>For Tennessee expenses we have:</u>
A variable expense of $ 16.40 for each film.
The equation that represents the expenses is a linear equation like the one shown below
Where C represents the cost and x the number of movies.
To know after how many movies have paid the same amount, we equate both equations and solve the variable x
After 9 movies they will have paid the same amount