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adelina 88 [10]
3 years ago
15

Anna plans a business model to compete with two video stores, where she hopes to draw in customers from one store but not lose m

oney on the deal.
Movie Mania charges a subscription fee of $30 and an additional $5 per movie, x. Movie Time charges a subscription fee of $25 and an additional $6 per movie, x.

Based on this information, which system of inequalities could be used to determine 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?
Mathematics
2 answers:
babymother [125]3 years ago
4 0
Let x be the number of movies, m(x) be how much Movie Mania charges and t(x) be how much Movie Time charges and a(x) be Anna's plan.

<span>Movie Mania charges a subscription fee of $30 and an additional $5 per movie
</span>
m(x)=30+5x 

<span>Movie Time charges a subscription fee of $25 and an additional $6 per movie

</span>t(x)=25+6x 

<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>t(y) < a(y) < m(y) 

Expanding it out,

25+6y< a(y) < 30+5y 
  
Is there any room there?

25+6y  <  30+5y

y < 5

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:

25+6y< a(y) < 30+5y 

shepuryov [24]3 years ago
4 0

Answer:

The person below is right but they just explained it alittle oddly so I'll clarify for them because it is correct :)

y<5x+30/x

y>6x+25/x

Step-by-step explanation:


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