Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21 and members pay only $2.50 to rent each video.

Question

Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21 and members pay only $2.50 to rent each video. For what number of videos is the cost the same?

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Delilah 2 weeks 2022-01-06T05:42:42+00:00 1 Answer 0 views 0

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    2022-01-06T05:44:05+00:00

    Answer:

    14 videos

    Step-by-step explanation:

    Let x is the number of videos, y is the total cost

    Suppose a video store charges nonmembers $4 to rent each video

    so, y₁ = 4x   ⇒(1)

    If a store membership costs $21 and members pay only $2.50 to rent each video.

    So, y₂ = 2.5x + 21   ⇒(2)

    For the same cost :

    ∴ y₁ = y₂

    4x = 2.5x + 21   ⇒ combine like terms

    4x – 2.5x = 21

    1.5x = 21

    x = \frac{21}{1.5} =\frac{21*10}{1.5*10} =\frac{210}{15} = 14

    The number of videos at which the cost is the same 14 videos

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