Let

be the number of movies,

be how much Movie Mania charges and

be how much Movie Time charges and

be Anna's plan.
<span>Movie Mania charges a subscription fee of $30 and an additional $5 per movie
</span>
<span>Movie Time charges a subscription fee of $25 and an additional $6 per movie
</span>
<span>How many movies need to be rented for a customer on Anna’s plan, y, to pay her more than they would at Movie Time, but less than they would at Movie Mania?
That's
</span>
Expanding it out,
Is there any room there?


There's no possible plan that will do what Anna wants for 5 or more movies, because in that domain Movie Time costs more than Movie Mania. She can squeeze in there between 1 and 4 movies.
I write the answer as: