4. A local DVD rental machine rentsmovies out to customers for $5.75per movie. A digital movie companyallows you to rent movies for $3.25but requires a membership fee of$40. How many movie rentals will ittake for both options to be the sameprice?

It takes 16 movie rentals for both options to be the same  priceSolution:Given that, A local DVD rental machine rents movies out to customers for $5.75 per movie.  A digital movie company allows you to rent movies for $3.25 but requires a membership fee of $40.  We have to find how many movie rentals will it take for both options to be the same price?  Now, let the number of movies rented be "n"Then, according to the given information, [tex]\begin{array}{l}{5.75 \times n=3.25 \times n+40} \\\\ {5.75 n=3.25 n+40} \\\\ {5.75 n-3.25 n=40} \\\\ {2.50 n=40} \\\\ {n=\frac{40}{2.5}=16}\end{array}[/tex]Hence, it takes 16 movies to be the same price for both options.