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Movie Rental - Rent New & Old Movies for One Price!

Get the best of both worlds at our video store! Rent new movies and older movies at affordable prices. Solve a multi-step problem to find the store's monthly revenue.

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Movie Rental - Rent New & Old Movies for One Price!

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  1. Movie Rental A video store rents new movies for one price and older movies for a lower price, as shown at the right. EXAMPLE 5 Solve a multi-step problem • Write an equation that represents the store’s monthly revenue. • Solve the revenue equation for the variable representing the number of new movies rented. • The owner wants $12,000 in revenue per month. How many new movies must be rented if the number of older movies rented is 500? 1000?

  2. STEP 1 Write a verbal model. Then write an equation. STEP 2 Solve the equation for n1. EXAMPLE 5 Solve a multi-step problem SOLUTION An equation is R = 5n1 + 3n2.

  3. =n1 R – 3n2 Calculate n1 for the given values of Rand n2. STEP 3 5 12,000 – 3 500 2100. = = 5 12,000 – 3 1000 = 5 ANSWER 1800. = If 500 older movies are rented, then 2100 new movies must be rented. If 1000 older movies are rented, then 1800 new movies must be rented. EXAMPLE 5 Solve a multi-step problem R = 5n1 + 3n2 Write equation. R – 3n2 = 5n1 Subtract 3n2 from each side. Divide each side by 5. Ifn2 = 500, thenn1 Ifn2 = 1000, thenn1

  4. STEP 1 Write a verbal model. Then write an equation. for Example 5 GUIDED PRACTICE 14. What If?In Example 5, how many new movies must be rented if the number of older movies rented is 1500? SOLUTION An equation is R = 5n1 + 3n2.

  5. Calculate n1 for the given values of Rand n2. STEP 3 R – 3n2 = n1 5 12,000 – 3 1500 1500. = = 5 STEP 2 Solve the equation for n1. for Example 5 GUIDED PRACTICE R = 5n1 + 3n2 Write equation. R – 3n2 = 5n1 Subtract 3n2 from each side. Divide each side by 5. Ifn2 = 1500 If 1500 older movies are rented, then 1500 new movies must be rented

  6. STEP 1 Write a verbal model. Then write an equation. for Example 5 GUIDED PRACTICE 15. What If?In Example 5, how many new movies must be rented if customers rent no older movies at all? SOLUTION An equation is R = 5n1 + 3n2.

  7. Calculate n1 for the given values of Rand n2. STEP 3 R – 3n2 = n1 5 12,000 – 3 0 2400. = = 5 STEP 2 Solve the equation for n1. for Example 5 GUIDED PRACTICE R = 5n1 + 3n2 Write equation. R – 3n2 = 5n1 Subtract 3n2 from each side. Divide each side by 5. Ifn2 = 0, thenn1 If 0 older movies are rented, then 2400 new movie must be rented

  8. R – 5n1 R – 5n1 = n2 3 3 Solve the equation for n1. for Example 5 GUIDED PRACTICE 16. Solve the equation in Step 1 of Example 5 for n2. R = 5n1 + 3n2 Write equation. R – 5n1 = 3n2 Subtract 5n1 from each side. Divide each side by 3. Equation forn2is

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