## 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.

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## Answers ( )

Answer:14 videosStep-by-step explanation:Let x is the number of videos, y is the total costSuppose 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 =

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