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15 June, 20:54

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

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  1. 15 June, 21:40
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    Movie Mania charges a subscription fee of $30 and an additional $5 per movie, x. So the total charges at Movie Mania for x movies will be:

    30 + 5x

    Movie Time charges a subscription fee of $25 and an additional $6 per movie, x. So the total charges at Movie Time for x movies will be:

    25 + 6x

    Anna wants her plan to her amount y which is more than Movie Time but Less than Movie Mania. So we can set up the equation as:

    Cost at Movie Time < y < Cost at Movie Mania

    Using the values, we can write:

    25 + 6x < y < 30 + 5x

    Using this system of inequalities Anna can determine how many movies need to be rented for a customer on her plan
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