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A video rental company offers a plan that includes a membership fee of $10\$10 and charges $5\$5 for every DVD borrowed. They also offer a second plan, that costs $50\$50 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that?\newlineWrite a system of equations, graph them, and type the solution.\newline___\_\_\_ DVDs\newline

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Q. A video rental company offers a plan that includes a membership fee of $10\$10 and charges $5\$5 for every DVD borrowed. They also offer a second plan, that costs $50\$50 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that?\newlineWrite a system of equations, graph them, and type the solution.\newline___\_\_\_ DVDs\newline
  1. Define Costs: Step 11: Define the cost for each plan.\newlinePlan 11: \(10\) membership fee + 55 per DVD.\newlinePlan 22: $\(50\) for unlimited DVDs.\(\newline\)Set up the equation where both plans cost the same. Let \( x \) be the number of DVDs.\(\newline\)Equation: \( 10 + 5x = 50 \).
  2. Set Up Equation: Step \(2\): Solve for \( x \).\(\newline\)Subtract \(10\) from both sides: \( 5x = 40 \).\(\newline\)Divide by \(5\): \( x = 8 \).

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