DVD Rentals The number of rentals of a newly released DVD of a horror film at a movie rental store decreased each week. At the same time, the number of rentals of a newly released DVD of a comedy film increased each week. Models that approximate the numbers $N$ of DVDs rented are $$\left\{\begin{array}{r}{N=360-24 x} \\ {N=24+18 x}\end{array}\right.$$
Added by Catalina B.
Step 1
To do this, we can set the two equations equal to each other: $360 - 24x = 24 + 18x$ Now, we can solve for $x$: $336 = 42x$ $x = 8$ Show more…
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The number of rentals of a newly released DVD of a horror film at a movie rental store decreased each week. At the same time, the number of rentals of a newly released DVD of a comedy film increased each week. Models that approximate the numbers $N$ of DVDs rented are $$\left\{\begin{array}{ll}N=360-24 x & \text { Horror film } \\ N=24+18 x & \text { Comedy film }\end{array}\right.$$ where $x$ represents the week, with $x=1$ corresponding to the first week of release. (a) After how many weeks will the numbers of DVDs rented for the two films be equal? (b) Use a table to solve the system of equations numerically. Compare your result with that of part (a).
Suzanne W.
Two new DVDs, a horror film and a comedy film, are released in the same week. The weekly number $N$ of rentals decreases for the horror film and increases for the comedy film according to the models $$\left\{\begin{array}{ll} N=360-24 x & \text { Horror film } \\ N=24+18 x & \text { Comedy film } \end{array}\right.$$ where $x$ represents the time (in weeks), with $x=1$ corresponding to the first week of release. (a) After how many weeks will the numbers of DVDs rented for the two films be equal? (b) Use a table to solve the system of equations numerically. Compare your result with that of part (a).
Jerelyn N.
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